Answers
The value of x for the right triangle is 15 units.
What are right triangles?According to the definition of a right triangle, a triangle is referred to as a right-angled triangle or simply a right triangle if one of the angles is a right angle (90°). Triangle ABC is a right triangle in the illustration, consisting of the base, altitude, and hypotenuse. Here, the hypotenuse is BC, the altitude is AC, and the base is AB.
Given a right triangle,
QRS and RT is perpendicular on SQ,
ST = 9 units, TQ = 16 units,
RS = x,
let RQ = z and QT = y, SQ = 25 units
from figure, we have 3 right triangles,
RST, QTR and QRS,
using the Pythagorean theorem to find x,
in ΔRST
x² = 9² + y²......... (1)
in ΔQTR
z² = y² + 16² ..........(2)
in ΔQRS
25² = x² + z²
substituting values from equations 1 and 2
25² = y² + 9² + y² + 16²
2y² = 625 - 81 - 256
y² = 288/2
y = √144
y = 12 units
substitute the value of y in equation 1
x² = y² + 9²
x² = 12² + 9²
x² = 144 + 81
x = √225
x = 15 units
Hence the value of x is 15 units.
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Related Questions
five-card hand is called a flush if all five cards are in the same suit but not all five denominations are consecutive. for example, both (a, 2, 3, 4, 7)and (2, 4, 6, j, q)are flushes, but neither (a, 2, 3, 4, 5)nor (10, j, q, k, a)is a flush. let n be the event of not having a flush. how many outcomes are in n ?
Answers
The number of outcomes in n is 2,361,222. The concept used in this problem is known as combinatorics, which is a branch of mathematics that deals with counting and arranging objects.
The problem is asking for the number of ways to choose 5 cards from a deck of 52 cards, such that none of the cards are of the same suit.
To solve the problem, we use the formula for counting the number of ways to choose k items from a set of n items without replacement, which is:
(n choose k) = n! / (k! * (n-k)!)
Where n! represents the factorial of n, which is the product of all positive integers less than or equal to n.
This can be calculated as (52 choose 5) - (13 choose 1 * 39 choose 4) - (13 choose 2 * 26 choose 3) - (13 choose 3 * 13 choose 2) - (13 choose 4 * 13 choose 1) = 2, 598, 960 - 13 * 9, 615 - 78 * 1, 030 - 286 * 78 - 715 * 13 = 2, 598, 960 - 125, 995 - 79, 380 - 22, 068 - 9, 295 = 2, 361, 222
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I picked a but I would like to make sure that my answer is right. Can someone verify my answer is right
Answers
Answer:
Answer option 2 is right
Step-by-step explanation:
You're assuming that there were 10 people asked in 8th grade, but the decimal values indicate a percentage of the people asked not the exact value unless an amount is given.
Because it didn’t say it was how many students it said the decimal which can also be turned to a percentage that had became 20%.
Based on the latest U. S. Census count, only 48. 0% of Alaskans are female while 51. 7% of Rhode Islanders are
female.
What is the probability that randomly chosen samples of 50 residents from each of the two states would show a
larger proportion of women in Alaska than in Rhode Island?
Answers
So, The probability that randomly chosen Sample of so residents from each of the two states. The proportion of women in Alaska logger than in Rhodes island is 0.3556.
Given that based on the latest U.S census Count, only 48% of Alaskans are females white 51.7% of Rhode islanders are female.
Let x denote the females in Alaska and y denote the females in Rhode island.
Since, 48% Alaskans ore females.
So, P(x)=0.48
And 51.7 \% of Rhode islanders are females
So, P(y)=0.517.
Now, randomly chosen sample of so residents
from each of the two states.
Now, randomly chosen sample of residents from each of the two states.
So, [tex]x \sim[/tex] {Binomial}(50 , 0.48)
Ana, [tex]y \sim[/tex] Binomial (50, 0.517 )
E(x)=50 * 0.48=24
E(y)=50 * 0.517=25.85
V or (x)=50 * 0.48(1-0.48)=12.48
[tex]Voo_0[/tex](y)=50 * 0.57(1-0.517)=12.4856
Now, we have to find the probability that the proportion of women in Alaska is larger than in Rhode island.
i.e,
[tex]P(x > y) \\= P(x-y > 0)[/tex]
Using normal approximation
[tex]$$=p\left[z > \frac{0-(24-25.85)}{\sqrt{12.48-12.4856}}\right]$$[/tex]
[tex]=P(z > 0.3703) \quad[\text { where } z \sim N(0,1)] \\ =0.3556 \quad \text { (from } z \text { table) }[/tex]
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Marshall modeled the distance, y, that swimmers traveled during a race as a
function of time, x, that they swam. Which would best describe the domain of
this function?
Answers
The domain of the function modeling the distance swam by a swimmer as a function of time would be all positive real numbers greater than or equal to zero, representing the time spent swimming in the race.
This is because the time spent swimming in a race cannot be negative and must be greater than or equal to zero, which represents the start of the race. The domain of a function defines the set of all possible input values (in this case, time) for which the function produces a valid output (distance). In this case, the domain would be all positive real numbers greater than or equal to zero, since these are the only valid input values that can be used to calculate the distance swam by a swimmer during a race.
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3. Trapezoid A'B'C'D was created by dilating trapezoid ABCD using D as the center of dilation.
a. What was the scale factor of the dilation?
b. Based on the scale factor, how many copies of ABCD, including the
original, should fit inside A'B'C'D'?
c. How can you see your answer to these questions in the diagram?
Answers
a. The scale factor is solved to get 3
b. There 9 copies of the of the original shape in the scaled image
c. the top has 2 and a remaining part shaded and labelled O which is joined to the part labelled P at the base to form 3
The middle has 3 while the last has 3 and the part labelled P
3 + 3 + 2 + 1 = 9
How to calculate the scale factorScale factors are used to increase or decrease image. The situation of increment is usually called magnifying.
For the given graph the values with prime is assumed to be the the image while the the values without prime represent the original shape.
Taking a point of reference say CB and C'B'.
CB = 2
C'B' = 6
solving for the factor, assuming the factor is k
2k = 6
k = 6/2 = 3
b. The area of the original shape is solved using the formula for area of trapezoid
= 0.5 (sum of parallel lines) * height
= 0.5 * (2 + 4) * 2
= 6 square units
area of the image
= 0.5 * (6 + 12) * 6
= 54 square units
the number of the original shape in the scaled copy
= area of the image / area of the original shape
= 54 / 6
= 9
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When 3x - 12y = 6 and y=-2, what is the value of x?
Answers
Answer: x = 2+4y (I think, please tell me if I'm wrong)
Step-by-step explanation: Hope this helps
Explain the relationship between the behavior of some couples and a nuclear arms race?
Answers
The surprising discovery of utilising arithmetic to reduce the risk of divorce is based on the Gottman Group's scale of points, which distinguishes between High Risk and Low Risk of Divorce.
What is nuclear arms race?During the Cold War, the United States, the Soviet Union, and their allies engaged in a struggle for nuclear superiority known as the nuclear arms race. The United States developed more atomic weapons to aid in discouraging Soviet communist growth. But after the Soviet Union conducted its own atomic bomb test in 1949, the Cold War nuclear arms race began. An arms race is when two or more countries acquire military power in a competitive manner. When a group of nations raise their military spending or build up their forces, the term is frequently used fairly loosely. The competitive tone of this escalation frequently implies a hostile relationship.To learn more about nuclear arms race, refer to:
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2. Manasi wants to plant flowers in her square field of side 10m.. If Lekha also wants to plant flowers in her rectangular field of length 8m and the same perimeter as that of the square field, whose field will be able to sow more seeds?
please tell the answer
Answers
The number of seeds that can be sown in a given area depends on the size and spacing of the seeds.
What is the area of the square?
A square is a 2D figure in which all the sides are of equal measure. Since all the sides are equal, the area would be length times width, which is equal to side × side. Hence, the area of a square is a side square.
It is not possible to determine which field will be able to sow more seeds without additional information.
The square field has an area of 100 square meters,
while the rectangular field has an area of 40 square meters, but the perimeter of the rectangular field is not given and it is not possible to calculate it.
Hence, The number of seeds that can be sown in a given area depends on the size and spacing of the seeds, as well as the type of soil and other environmental factors.
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Rewrite [tex]\frac{\frac{x^{3}-xy^{2} }{y} }{\frac{y}{x}-1 }[/tex] as a single, simplified fraction. State any excluded values of the variables.
Answers
The simplified fraction is -x²(x + y)/y for the given expression.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
The fraction is given in the question, as follows;
{(x³ -xy²)/y}/{y/x - 1}
{x(x² -y²)/y}/{(y - x)/x}
{x(x - y)(x + y)/y}/{(y - x)/x}
Reciprocal the terms in the above fraction,
{x(x - y)(x + y)/y} × {x/(y - x)}
{x(x - y)(x + y)/y} × {-x/(x - y)}
Reduce the same term in the expression,
{x(x + y)/y} × {-x}
-x²(x + y)/y
This is the simplified fraction.
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Use the Law of detachment to draw a conclusion
1. If a figures 's a rectangle, then it has four right angles.
Figure PQRS is a rectangle.
2. If a quadrilateral is a trapezoid, then it has exactly one pair of parallel sides.
Quadrilateral ABCD is a trapezoid.
3. If a convex polygon is a pentagon, then the sum of the measures of its interior angles is 540°. Figure ABCDE is a pentagon.
4. If an angle is acute, then its measure is greater than 0° but less than 90°.
5. If two angles are congruent, then their measures are equal.
Answers
PQRS has four right angles, ABCDE is a pentagon and ABC measure greater than 0 but less than 900.
What is quadrilateral?
Quadrilaterals are typically four-sided closed shapes, and there are numerous varieties of them. Square, rectangle, rhombus, kite, and trapezoid are the most typical shapes. Four closed sides make up a quadrilateral. Quadrilaterals are the following figures: a four-sided figure. The form features a single set of parallel sides and no right angles.
If a figure is a rectangle, then it has four right angles. Figure PQRS is a rectangle.
• Figure PQRS has four right angles.
If a convex polygon is a pentagon, then the sum of the measures of its interior angles is 540°.
• Figure ABCDE is a pentagon.
If an angle is acute, then its measure is greater than 0 but less than 90. ABC is an acute angle.
• ABC measure greater than 0 but less than 900
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when player a played football, he weighed 228 pounds. how many standard deviations above or below the mean was he?
Answers
The mean weight of the team was found to be 222.47 pounds. The standard deviation was 28.32 pounds. 3 standard deviations below the mean were 136.83 pounds. Player A was approximately 0.20 standard deviations above the mean.
(i) Mean:
mean = (sum of all weights) / (number of weights) = (177 + 203 + 211 + 211 + 232 + 205 + 185 + 185 + 178 + 210 + 206 + 212 + 184 + 174 + 185 + 242 + 188 + 212 + 215 + 247 + 241 + 223 + 220 + 260 + 245 + 259 + 278 + 270 + 280 + 295 + 275 + 285 + 290 + 272 + 273 + 280 + 285 + 286 + 200 + 215 + 185 + 230 + 250 + 241 + 190 + 260 + 250 + 302 + 265 + 290 + 276 + 228) / (55) = 222.47
So, the mean weight of the team members of Football Team A was approximately 222.47 pounds.
(ii) Standard deviation:
We need to calculate the deviation from the mean for each weight and then find the square of the deviations. We can then find the sum of the squared deviations, divide by the number of weights minus 1, and then find the square root of the result.
Deviation from the mean:
177 - 222.47 = -45.47,
203 - 222.47 = -19.47,
211 - 222.47 = -11.47, and so on till,
228 - 222.47 = 5.53
Squared deviation:
(-45.47)^2 = 2070.5489,
(-19.47)^2 = 379.3409,
(-11.47)^2 = 131.4409, and so on till,
(5.53)^2 = 30.6409.
Sum of squared deviations:
sum = 2070.5489 + 379.3409 + 131.4409 + ... + 30.6409
sum = 30589.6409
standard deviation = square root of [(sum of squares of deviations from the mean) / (number of observations - 1)]
standard deviation = square root of [(30589.6409) / (55 - 1)]
standard deviation = 28.32
So, the standard deviation of the weights of the team members of Football Team A was approximately 28.32 pounds.
(iii) 3 standard deviations below the mean:
3 standard deviations below the mean = mean - (3 * standard deviation) = 222.47 - (3 * 28.32) = 136.83
So, a weight that is 3 standard deviations below the mean is approximately 136.83 pounds.
(iv) Player A's weight in terms of standard deviations:
Player A's weight = 228 pounds
Player A's deviation from the mean = 228 - 222.47 = 5.53
Player A's weight in terms of standard deviations = 5.53 / 28.32 = 0.20
So, Player A was approximately 0.20 standard deviations above the mean.
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Complete question: Following are the published weights (in pounds) of all of the team members of Football Team A from a previous year. 177; 203; 211; 211; 232; 205; 185; 185; 178; 210; 206; 212; 184; 174; 185; 242; 188; 212; 215; 247; 241; 223; 220; 260; 245; 259; 278; 270; 280; 295; 275; 285; 290; 272; 273; 280; 285; 286; 200; 215; 185; 230; 250; 241; 190; 260; 250; 302; 265; 290; 276; 228; 265 Assume the population was Football Team A. Find the following. (Round your answers to two decimal places.) (i) the population mean (ii) the population standard deviation (iii) the weight that is 3 standard deviations below the mean (iv) When Player A played football, he weighed 228 pounds. How many standard deviations above or below the mean was he?
How do I know what type of graph to draw?
Answers
If you want to compare values, use a pie chart — for relative comparison — or bar charts — for precise comparison. If you want to compare volumes, use an area chart or a bubble chart. If you want to show trends and patterns in your data, use a line chart, bar chart, or scatter plot.
Now, According to the question:
How to Choose the Right Data Visualization
Showing change over time.Showing a part-to-whole composition.Looking at how data is distributed.Comparing values between groups.Observing relationships between variables.Looking at geographical data.Hence, If you want to compare values, use a pie chart — for relative comparison — or bar charts — for precise comparison. If you want to compare volumes, use an area chart or a bubble chart. If you want to show trends and patterns in your data, use a line chart, bar chart, or scatter plot.
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I don’t understand and im going nuts, help.
Answers
Parenthesis is multiplication.
3(y)= 3y and 3(4)=12
After distributive property
Y+6+3y+12
Add 3y and y because they are like terms =4y
Add 6 and 12 because they are like terms
=18
So the full equation is 4y+18
You can’t add them because they are not like terms
What is the distance between the points with coordinates 3/4 and 0 0?
Answers
The distance between the two points (3, 4) and (0, 0) is 25 units.
What is the distance?Regardless of direction, an object's total velocity determines its distance.
Distance is the amount of space an object has traveled, regardless of where it began or concluded.
Knowing how far an object is from us allows us to estimate its actual size.
The following formula is typically used to determine the distance between two points: d=((x2 - x1)2 + (y2 - y1)2)
So, the distance formula is thus:
d=((x2 - x1)2 + (y2 - y1)2)
Points are: (3, 4) and (0, 0)
Now perform the computation shown below by plugging the numbers into the formula above:
d=((x2 - x1)2 + (y2 - y1)2)
d=((0 - 3)2 + (0 - 4)2)
d=((3)2 + (4)2)
d=(9+16)
d=25 units
Therefore, the distance between the two points (3, 4) and (0, 0) is 25 units.
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This is the graph of a linear inequality. Write the inequality in slope-intercept form.
Answers
The inequality in slope-intercept form is: y ≤ -x - 2.
How to Write the Linear Inequality of a Graph?The linear inequality of a graph can be written in slope-intercept form as y = mx + b, where m is the slope of the line, b is the point on the y-axis where the line intercepts, and "=" would be replaced with the inequality sign, which is determined by the type of boundary line and if the shaded region is above it or below it.
The slope of the line (m) = rise/run = -2/2 = -1.
Y-intercept (b) = -2.
The line is a solid line, and the shaded region is below it, therefore, the inequality sign to use is ≤.
Substitute m = -1 and b = -2 into y ≤ mx + b:
y ≤ -x - 2
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Using long division, find the quotient of (6x^3 + x^2 - 2x + 15) / (2x + 3)
Group of answer choices
3x^2 - 4x + 5
3x^2 + 5x - 6
2x^2 + 3x - 5
3x^2 - 5x - 5
Answers
Answer:
Option A: 3x^2 - 4x + 5
Step-by-step explanation:
As you can see in the image, only option A (black dashed) matches the equation (solid red). The others (purple, green, and orange dashed) do not match.
Juan travels 49 miles per hour for 9 hours. find the distance traveled, in miles.
Answers
The distance traveled by Juan in miles is 441 miles.
What is distance?
Distance is the total length of a path that an object has taken to get from one place to another. The route from the starting point to the ending point might or might not be straight. Distance is a scalar quantity with only magnitude and no direction.
Total distance travelled by the object. This depends on the entire route taken, not just the beginning and ending locations. The distance travelled is always a positive number. a scalar quantity with distance units.
Distance = speed × time
Given speed = 49 miles per hour
Time = 9 hours
Distance = 49 × 9
= 441 miles
Thus, the distance traveled by Juan in miles is 441 miles.
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If sin f° = eight ninths and the measure of segment YW is 24 units, what is the measure of segment YX?
21 units
24 units
27 units
30 units
Answers
Answer:
Step-by-1step explanation:
156.8 - 9.92 I don’t know how to solve it
Answers
Answer:
156.8 - 9.92 = 146.88
Step-by-step explanation:
Patrick purchased some supplies for his guitar students. He bought 25 guitar picks and 25 guitar strings since they only cost
$1 more than the guitar picks. He spent a total of $40. If c is the cost of one guitar pick, find the cost of one guitar string.
(1 point)
0.30
Answers
The cost of one guitar string is obtained as follows:
$1.3.
How to obtain the costs?The costs are obtained using a system of equations, for which the variables are given as follows:
Variable x: cost of a guitar pick.Variable y: cost of a guitar string.He purchases 25 of each, for a total of $40, hence:
25x + 25y = 40.
x + y = 1.6.
A string costs $1 more than a guitar pick, hence:
y = x + 1.
x = y - 1.
Hence the cost of a string is obtained as follows:
y - 1 + y = 1.6
2y = 2.6
y = 2.6/2
y = $1.3.
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Line m passes through points (6, 8) and (2, 1). Line n passes through points (9, 10) and (2, 6). Are line m and line n parallel or perpendicular?
Answers
Step-by-step explanation:
lets calculate each of the gradients(m & n)
for m; x1 = 6,x2 = 2,y1 = 8,y2 = 1
[tex]gradient = \frac{y2 \\ - y1}{x2 - x1} [/tex]
[tex]m = \frac{1 \\ - 8}{2 - 6} = \frac{ - 7}{ - 4} [/tex]
[tex]m = \frac{7 \\ }{4} [/tex]
now lets calculate the gradient for m
x1=9, x2=2, y1=10, y2=6
[tex]n = \frac{ \\ 6 - 10}{2 - 9} [/tex]
[tex]n = \frac{ - 4 \\ }{ - 7} [/tex]
[tex]n = \frac{4 \\ }{7} [/tex]
for parallelism
m1 = m2
[tex] \frac{4}{7 \\ } = \frac{7}{4} [/tex]
therefore it is not parallel
for perpendicularism
[tex] \frac{ - 1 \\ }{ \frac{4}{7} } = \frac{ - 7}{4} [/tex]
[tex] \frac{ - 1}{ \frac{7}{4} } = - \frac{ 4}{7} [/tex]
therefore it is perpendicular
Given three floating-point numbers x, y, and z, output x to the power of z, x to the power of (y to the power of z), the absolute value of y, and the square root of (xy to the power of z).
Answers
[tex]x^y^z[/tex] , [tex]|x|[/tex] are the output of 1st 2 question and for the second question
the final computation SquareRoot(RaiseToPower(x*y, z)) is doing this:
[tex]\sqrt{(xy)^z}[/tex]
float x , float y , float z
x = Get new line of input
y = Get new line of input
z = Get new line of input
Place RaiseToPower(x, y) in the output.
Place RaiseToPower(x, RaiseToPower(y, z)) to get output
Put abs(x) to output
where abs(x) is absolute value of x
Place SquareRoot(RaiseToPower(x*y, z)) to get disired output
The very first three lines of code simply declare the float type (a number with decimal points) data type of the x, y, and z variables.
After the initial three lines, the user's input is asked in the following three lines.
Coral's Put instruction is used to output an expression for display on the console.
I'm using Coral's built-in RaiseToPower math function to instruct the interpreter to output the value of x raised to the power of y to the console for the initial Put command.
Although the subsequent calculation RaiseToPower(x, RaiseToPower(y, z)) appears to be nested, it actually performs this: [tex]x^y^z[/tex]
The next computation is AbsoluteValue(x) is doing this [tex]|x|[/tex]
And the final computation SquareRoot(RaiseToPower(x*y, z)) is doing this:
[tex]\sqrt{(xy)^z}[/tex]
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What is the inverse of log X?
Answers
The inverse of log X is bˣ , where b is the logarithm's base.
Inverse Function[f][y] provides the value of x for which f[x] equals y. Inverse Function[f][y] represents the inverse of the function f. To find the inverse of a function, write the function y as a function of x i.e. y = f(x) and then solve for x as a function of y.
To find the inverse of a function, write the function y as a function of x i.e. y = f(x) and then solve for x as a function of y.
Let us take,
n = log₁₀ X
Then, 10ⁿ = X
(assuming that the logarithm's base is 10)
If the logarithm's base is b, then it is bˣ.
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the sum of he digits of a certain two digit number is 7 reversingits digits increase the number by nine
Answers
The first digit is 3 and the second 4 so the original number is 34
What is an order of an equation?
The highest-order derivative that a differential equation has is used to define the equation's order. The highest-order derivative of a differential equation is defined as its degree, which is expressed as a power.
Here, We
Let the first digit be a
Let the second digit be b
a + b = 7....(1)
The first order value:
a is a counting in tens. So actual value is 10(a)
b is counting in units. So actual value is 1(b)
10a + b...(2)
The second order value:
b is a counting in tens. So the actual value is 10(b)
a is counting in units. So actual value is 1(a)
10b + a....(3)
Now, we subtract equation(3) from (2) and we get
= (10b + a) -(10a + b) = 9
= 9b - 9a = 9
= b - a = 1...(4)
From equation(1)
a = 7 - b
Now, we put the value of a in equation(4) and we get
= b - (7-b) = 1
= b - 7 + b = 1
= 2b = 8
b = 4
Now, substitute the value of b in equation (1) and we get
a = 3
Hence, The first digit is 3 and the second 4 so the original number is 34
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If a circle has a diameter of 24 centimeters, and the length of an arc is 36 centimeters, what is the measure of the central angle sub tended by the arc
Answers
The measure of the central angle sub tended by the arc is 20.62 degree.
Now, According to the question:
The given data is:
A circle has a diameter of 24 centimeters,
and the length of an arc is 36 centimeters.
To find the measure of the central angle sub tended by the arc.
We know that in a circle of radius 'r' unit, if an arc of length 'l' unit
subtends an angle θ radian at the center, then θ= 1/r
Therefore,
Diameter = 24 then, r = Diameter/2
Radius = 12cm. , Length of an arc = 36cm
θ = 36/100 radian = [tex]\frac{180}{\pi }[/tex] × [tex]\frac{36}{100}[/tex] degree = (180 × 36 x 7)/(22 × 100)
= 20.62 degree.
Hence, the measure of the central angle sub tended by the arc is 20.62 degree.
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Can someone help me understand this?
Answers
When the values of x and y are replaced into a linear inequality in two variables, such as Ax + By > C, the solution is an ordered pair (x, y) .
what is linear inequalities ?In mathematics, an inequality is a connection between two expressions or values that is not equal. As a result, inequality results from imbalance. In mathematics, an inequality establishes a connection between two non-equal numbers. Egality is different from inequality. Use the not equal sign, which is most frequently used, when two values are not equal (). Values of any size can be contrasted using various inequalities. By changing the two sides until only the variables are left, many straightforward inequalities can be resolved. But a lot of factors support inequality: On either side, negative values are split or added.
given
Rule 1: An inequality sign remains unaltered when the same amount is added to or subtracted from both sides.
Rule 2: The inequality sign remains constant when both sides are multiplied or divided by a positive number.
When the values of x and y are replaced into a linear inequality in two variables, such as Ax + By > C, the solution is an ordered pair (x, y) .
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How do you graph a linear equation 3x 2y 6?
Answers
We can draw the graph a linear equation 3x + 2y = 6 by isolating y then putting the different value of x to find the value of y.
We have to explain, how we graph a linear equation 3x + 2y = 6.
The given linear equation is 3x + 2y = 6.
To graph the linear equation, we have to first isolate the y.
Subtract 3x on both side, we get
2y = 6 - 3x
Divide by 2 on both side, we get
y = [tex]\frac{6 - 3x}{2}[/tex]
Now we finding the value of y in the different value of value of x
x 0 2
y 3 0
Now we draw that points.
The graph of the given linear equation is given below:
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The complete question is:
How do you graph a linear equation 3x + 2y = 6?
How do you translate a graph left and right?
Answers
To translate a graph left and right, you need to shift the graph horizontally. To shift the graph left, subtract the desired amount from the x-values and keep the y-values the same. To shift the graph right, add the desired amount to the x-values and keep the y-values the same.
To translate a graph left and right, you need to shift the graph horizontally. This means that the values on the x-axis will be changed while the values on the y-axis will remain the same. To shift the graph left, subtract the desired amount from the x-values and keep the y-values the same. This will move the graph to the left on the x-axis. To shift the graph right, add the desired amount to the x-values and keep the y-values the same. This will move the graph to the right on the x-axis. Both of these processes can be used to shift the graph to the desired position on the x-axis.
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How do you know if a graph is inverse or direct?
Answers
In a direct relationship, Y increases when X increases. On a graph, a direct relationship always has a positive slope. Inverse relationship: An inverse relationship means that the variables change in opposite directions: one increases while the other decreases, and vice versa.
Now, According to the question:
Let's know:
Direct relationship:
A direct relationship means that both variables increase together or both decrease together.
In a direct relationship, Y increases when X increases.
On a graph, a direct relationship always has a positive slope.
Inverse relationship:
An inverse relationship means that the variables change in opposite directions: one increases while the other decreases, and vice versa.
In an inverse relationship, Y decreases when X increases.
On a graph, an inverse relationship always has a negative slope.
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Which ordered pair is a solution to the linear inequality y ⩾ 2x–4?a.(1,2)
b.(1, 1)
c.(2,-3)
d.(2,4)
Answers
The linear inequality y⩾2x–4 can be expressed in the standard form of an inequality as y-2x⩾–4.
This means that the y-value must be greater than or equal to the result of the calculation 2x–4. To solve this inequality, we can substitute an x-value and calculate the corresponding y-value. For example, if we choose an x-value of 1, then we can calculate the y-value as y = 2x–4 = 2(1)–4 = –2. Therefore, the ordered pair (1,2) is a solution to the linear inequality, as the y-value (2) is greater than or equal to the result of the calculation 2x–4 (–2). The ordered pair (1,1) is not a solution to the linear inequality, as the y-value (1) is less than the result of the calculation 2x–4 (–2). The ordered pair (2,–3) is not a solution to the linear inequality, as the y-value (–3) is less than the result of the calculation 2x–4 (–4). The ordered pair (2,4) is a solution, as the y-value (4) is greater than or equal to the result of the calculation 2x–4 (–4).
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