The slope of the line that is parallel to the line -7x-5y=-6 is -7/5
What is the slope of a line?It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope of lines in a coordinate plane can aid in anticipating whether the lines are parallel, perpendicular, or none at all without actually using a compass.
Any two unique places along the line may be used to determine the slope of any line. When two different places on a line are considered, the slope of a line formula compares the vertical change to the horizontal change in each case. We shall comprehend how to discover the slope in this piece, along with some of its uses.
Given, line is -7x-5y=-6
We have to write the given line in slope-intercept form
Then, y= (-7/5)x+(6/5)
The slope-intercept form is y= mx +c
By using the slope-intercept form,
Slope=(-7/5)
The lines that are parallel to y= (-7/5)x+(6/5) have the same slope of -7/5
Therefore, the slope of the line that is parallel to the line -7x-5y=-6 is -7/5
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Which points are on the axes 5 units from the origin
Answer:
E and X
Step-by-step explanation:
look for the 6 then behind it
Answer:
X and E
Step-by-step explanation:
"axes" is the plural of axis. The x-axis is the flat line marked with numbers and arrows at the ends. Its labelled x on the right side.
The y-axis is the up-and-down line marked with numbers and arrows at the ends, labelled y at the top.
The origin is where the two axes cross.
Points J, E, X and P are all on the axes. But X and E are 5 units from the origin (where the lines cross) J and P are 9 units from the origin.
2, 6 and 10 were labelled on the axes, but each tick mark is an evenly spaced amount. So the 5 was unlabelled, but it is understood to be 5. See image.
What is the y intercept of the line -3x+2y=6 ?
O
-3
-2
2
3
Answer:
positive 3
Step-by-step explanation:
Steps:
1. first you must get y by itself/isolate it to one side of the equation to get it in the format of y = mx + b
-3x + 2y = 6
+3x +3x add 3x to both sides to get 2y by itself
____________
2y = 3x + 6 -3x+3x cancels out and becomes 0
-------------------------
2 divides both sides by 2 to get y by itself
y = (3/2)x + 3
2. Looking at the equation, we know that 3 is the y-intercept because the "b" in the slope-intercept equation is always the y-intercept.
ADC ~ CDB by the AA triangle similarly theorem. what is the measure of AC? Round to nearest 10th
The measure of side AC in the triangle is 2.7 m
Calculating measures of sides in similar trianglesFrom the question, we are to determine the measure of AC
From the given information, we have that ΔADC is similar to ΔCDB
Thus,
We can write that
|DC| / |DB| = |AC| / |CB|
From the diagram,
|DC| = 5.5 m
|DB| = 6.3 m
|AC| = h
|CB| = 3.1 m
Then,
5.5 / 6.3 = h / 3.1
∴ h = (5.5 × 3.1) / 6.3
h = 17.05 / 6.3
h = 2.70635 m
h ≈ 2.7 m
Hence,
The length of AC is 2.7 m
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Over three days, Molly earns $2,568 for a local charity. On the first day, she earns twice as much as she earns on the second day. On the third day, she earns three times as much as the second day. How much does she earn on the first day?
If on the third day, she earns three times as much as the second day. The amount that she earn on the first day is $856.
How to find the amount earned?Let a = Amount earned on the first day
Let b = Amount earned on the second day
Let c = amount earned on the third day
Let a + b + c =2568,
Hence,
2b + b +3b =2568
6b =2568
b =2568/6
b =428 second day
So,
a = 2b
a =2(428)
a =856 first day
Thus
c = 3b where b = 428
c=3(428)
c=1284 third day
Check:
a +b + c = $2568
856 + 428 + 1284 = $2568
Therefore she earned $856 on the first day.
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Joe has eaten 3/5 of pizza. Jane has eaten 1/6 of a pizza. How many times more pizza has joe eaten than Jane?
Joe has eaten 3.6 times more pizza than Jane has eaten.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Joe has eaten 3/5 of the pizza. Jane has eaten 1/6 of a pizza.
Divide the fraction number 3/5 by the fraction number 1/6. Then we have
⇒ (3/5) / (1/6)
Simplify the expression, then we have
⇒ (3/5) x 6
⇒ 3.6
Joe has eaten 3.6 times more pizza than Jane.
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Find the greatest common factor of the two numbers.
12,39
Answer:
3
Step-by-step explanation:
first factor out both the numbers
12:2*2*3
39:3*13
find the common ones and multiply them together
they both share only 3, so 3
expand and simplify 3(2x+1)+(x+4)
Leticia invests $200 at 5% interest. If y represents the amount of money after x time periods, which describes the graph of the exponential function relating time and money?
The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time.
The initial value of the graph is 200. The graph increases by a factor of 5 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 2 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 1.02 per 1 unit increase in time.
The exponential function relating time and money will be y = 200 (1.05)ˣ. Then the correct option is A.
What is an exponent?Consider the function:
y = a (1 + r) ˣ
Where x is the number of times this growth occurs, a = initial amount, and r = fraction by which this growth occurs.
Leticia contributes $200 at 5% interest. Assuming that y addresses how much cash after x time spans.
Then the exponential equation is written as,
y = 200(1 + 0.05)ˣ
y = 200 (1.05)ˣ
The exponential function relating time and money will be y = 200 (1.05)ˣ. Then the correct option is A.
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The laundry room at a hotel sent 160 bath
towels and 64 washcloths to the most rooms
they could so that each room received the
same number of each type of towel. How
many bath towels and how many washcloths
went to each room?
Answer:
5 bath towels
2 washcloths
Step-by-step explanation:
160 = 2⁵ × 5
64 = 2⁶
HCF= 2⁵ = 32
160 ÷ 32 = 5
64 ÷ 32 = 2
What is the y-intercept of a line that has a slope of 2 and ( - 2, 3 ) is a point on the line?
The y-intercept of the line will be equal to 7.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that a line that has a slope of 2 and ( - 2, 3 ). The y-intercept of the line will be calculated as,
y = mx + c
3 = (-2 x 2 ) +c
3 = -4 + c
c = 4 + 3
c = 7
Therefore, the y-intercept of the line will be equal to 7.
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The horsepower (hp) that a shaft can safely transmit varies jointly with its speed (in revolutions per minute (rpm))
and the cube of the diameter. If the shaft of a certain material 2 inches in diamter can transmit 16 hp at 120 rpm,
what must the diameter be in order to transmit 30 hp at 150 rpm?
The Diameter of the cube would be 3 inches
What is Variation?
A variation is a relationship that exists between a set of values for one variable and a set of values for other variables.
Solution:
We know that,
Horse Power is directly proportional to RPM * Diameter
So, we can write
Horse Power = k * RPM * Diameter
here, k is any constant
From the first case given, we can find the value of k
16 = k * 2 * 120
k = 1/15
Putting the value of k in second case,
30 = 1/15 * 150 * Diameter
Diameter = 3 inches
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Which equation has the same solution as x² + 4x + 13 = -10?
From the given set of equation the one which has same solution as
x² + 4x + 13 = -10 is given by (x+2)² = -19.
As given in the question,
Given equation is equal to:
x² + 4x + 13 = -10
Simplify it we get,
x² + 4x + 13 +10 =0
⇒ x² + 4x + 23 =0 ___(1)
General quadratic equation is
ax² + bx + c =0
a = 1 , b =4 , c =23
Simplify the given options we have:
a. (x+2)² = -19
⇒ x² + 4x + 4 = -19
⇒ x² + 4x + 4 + 19 =0
⇒ x² + 4x + 23 =0
Has same solution as given one.
b. (x-2)² = -27
⇒ x² -4x + 4 +27 =0
⇒x² -4x +31 =0
'b' and 'c' value are different
Not have same solution.
c. (x-2)² =-19
⇒ x² -4x + 4 +19 =0
⇒x² -4x +23 =0
'b' value is different.
Not have same solution.
d. (x+2)² = -27
⇒ x² +4x + 4 +27 =0
⇒x² +4x +31 =0
'c' value is different
Not have same solution.
Therefore, from the given set of equation the one which has same solution as x² + 4x + 13 = -10 is given by (x+2)² = -19.
The complete question is:
Which equation has the same solution as x² + 4x + 13 = -10?
a. (x+2)² = -19
b. (x-2)² = -27
c. (x-2)² =-19
d. (x+2)² = -27
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f(x)=(-3x^2-1)/3x^3 does f have an inverse function?
Answer: Yes, Probably
A trail mix is made by adding cashews that sell for $2.75 per pound to chocolate candies that sell for $1 per pound. How many of each should be used to get 50 pounds of trail mix that sells for $2 per pound?
Complete the statements.
The 50 pounds of trail mix includes [DROP DOWN 1] pounds of cashews and [DROP DOWN 2] pounds of chocolate candies.
The 50 pounds of trail mix includes 28.57 pounds of cashews and 21.43 pounds of chocolate candies.
What pounds of cashew and chocolate candies should be mixed to make the trail mix?let
x = pounds of cashewy = pounds of chocolate candiesx + y = 50
2.75x + y = 50 × 2
Solve the equation simultaneously
x + y = 50
2.75x + y = 100
Substract the equations2.75x - x = 100 - 50
1.75x = 50
x = 50/1.75
x = 28.57 pounds
Substitute into
x + y = 50
28.57 + y = 50
y = 50 + 28.57
y = 21.43 pounds
So therefore, the pounds of cashew and chocolate candies needed are 28.75 and 21.43 respectively.
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The width of a rectangle measures (9.6w+4.7x) centimeters, and its length
measures (7.8w - 2.1x) centimeters. Which expression represents the perimeter,
in centimeters, of the rectangle?
Answer:
[tex]34.8w+5.2x[/tex] cm
Step-by-step explanation:
If the width of a rectangle measures [tex](9.6w+4.7x)[/tex] cm and its length measures [tex](7.8w-2.1x)[/tex] cm, then the perimeter of the rectangle is:
[tex]2(9.6w+4.7x)+2(7.8w-2.1x)[/tex]
[tex](19.2w+9.4x)+(15.6w-4.2x)[/tex]
[tex]19.2w+9.4x+15.6w-4.2x[/tex]
[tex]19.2w+15.6w+9.4x-4.2x[/tex]
[tex]34.8w+5.2x[/tex]
Suppose that you have a square pyramid like the one pictured. Which plane section will produce a trapezoid? Question 4 options: A) Cutting off one of the bottom corners B) A cut parallel to the vertical axis, directly through the vertical axis C) A cross section cut parallel with the bottom D) A cut parallel to the vertical axis, but off the vertical axis
When you have a square pyramid, the plane section that will produce a trapezoid is B. A cut parallel to the vertical axis, directly through the vertical axis
What is a square pyramid?It is defined in geometry as a shape with a square base with equal side lengths and all of the square's joints at the top that are perpendicular to the center of the square.
Geometry, as we know, is the branch of mathematics concerned with the size, shape, and orientation of two-dimensional figures. A trapezoid, also known as a trapezium, is a closed, flat shape with four straight sides and one pair of parallel sides.
It's parallel sides are known as the bases, and its non-parallel sides are known as the legs. A trapezoid can have parallel legs as well.
In this case, the cut parallel to the vertical axis, directly through the vertical axis will produce the trapezoid.
In conclusion, the correct option is B.
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Over the last three evenings, Amanda received a total of 63 phone calls at the call center. The third evening, she received 2 times as many calls as the first
evening. The second evening, she received 5 fewer calls than the first evening. How many phone calls did she receive each evening?
68 calls she received in each evening .
What is linear equation ?A straight line equation and equations with a maximum order of one are referred to as "linear equations." The formula for the linear equation can be written as Y = mx + b, where m is the slope of the line, b is the y-intercept, and x and y are the variables. Slopes tell us the direction and steepness of a line. The value of y when x is 0 is referred to as the y-intercept because (0,y) is the point where the line crosses the y-axis.
CalculationLet's say the number of calls on the second night was x.
The first evening was then x+7.
The third evening she received 4x calls.
Add them up to make 109 calls....
x + x+7 + 4x = 109
6x + 7 = 109
6x = 102
x = 17 calls
x+7 = 24 calls
4x = 68 calls
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The formula is у= 6х - 5 Determine the value of x, if y=7
Answer:
x=2
Step-by-step explanation:
You can put the equation as 7=6x-5
Move equation
12=6x
Divide
x=2
Find two z values so that the middle 67% of the area is bounded by them.
The two z values that the middle 67% of the area is bounded by them are -3.999 and 3.999.
What is a standard normal distribution?In all continuous probability distributions, it is possible to calculate the percentiles, which are defined as the value of the random variable that leaves an area equal to the percentile to the left of the distribution. When it comes to a central percentile, the area is distributed and the percentile is determined using a table of values or technology.
The area between the two boundaries is 0.67and the remaining area is 0.33 (= 1-0.56) , which is to the left of it.
Look into the z table to find the area between z=-x and mean and z=x and mean. According to z score table z=0.44 has 0.67 of the area to the left of (below) it. That means z=-0.44 has 0.67 of the area to the right of (above) it.
Therefore, the two z values are 0.44 and -0.44.
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The two z values that the middle 67% of the area is bounded by them are -3.999 and 3.999.
What is a standard normal distribution?In all continuous probability distributions, it is possible to calculate the percentiles, which are defined as the value of the random variable that leaves an area equal to the percentile to the left of the distribution. When it comes to a central percentile, the area is distributed and the percentile is determined using a table of values or technology.
The area between the two boundaries is 0.67and the remaining area is 0.33 (= 1-0.56) , which is to the left of it.
Look into the z table to find the area between z=-x and mean and z=x and mean. According to z score table z=0.44 has 0.67 of the area to the left of (below) it. That means z=-0.44 has 0.67 of the area to the right of (above) it.
Therefore, the two z values are 0.44 and -0.44.
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=
Simple interest is given by the formula A P+Prt. Where A is the balance of the
account after t years, and P is the starting principal invested at an annual percentage rate
of r, expressed as a decimal.
Bill is investing $26,000 into a savings account that pays 2.6% simple interest. How long will
it take for this investment to double in value?
It will take
Round your answer to the nearest tenth.
years for this investment to double in value.
The investment will take 38.5 years to double in value.
What is simple interest?
The principal of a loan or the first deposit into a savings account serves as the basis for simple interest. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
P=$26,000 r=2.6%=0.026
A=2P=2(26,000)=$52,000
A=P+Prt
Substitute the known values
52,000=26,000+(26,000×0.026t)
52,000-26,000=676t
On simplifying, we get t= 38.46 years
Rounded number to the nearest tenth=38.5 years
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DONT IGNORE PLEASE HELP! Identify the correct diagram and formula to find the measure of an interior angle of hexagon.
The formula to find the measure of an interior angle of a hexagon is [(n - 2)×180]/n. Hence, option C is correct.
What is a Polygon?In geometry, a polygon is any enclosed curve made up of a collection of continuous line segments (sides) without any intersections.
Triangles (three sides), polyhedral (four sides), and pentagons are the three simplest polygons (five sides). Convex polygons are those in which none of the elongated sides overlap the polygon; concave polygons are those in which they do.
Equilateral refers to a polygon with equal angles. Equiangular shapes have equal internal angles on all sides. Regular polygons are any equilateral and equiangular polygons.
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I need asap thank you
Answer:
33 degrees
Step-by-step explanation:
The square in the corner of these two vectors signifies that this is a right angle, which will always equal 90 degrees, so if you subtract angle 2's value of 57 degrees, you will be left with angle 1 as 33 degrees.
A survey asked 300 students to choose their favorite type of movie.
The results are shown in the following table.
(a) Find the percentage for each type of movie.
Type of movie
Action
Comedy
Drama
Thriller
Number of
students
27
42
120
111
Percentage
1%
%
%
%
X
5
Answer:
300/100%=3%
Step-by-step explanation:
sorry, can't explain.Ihave class tomorrow
3 times 4 times 4 times 3 times 3 times 4 = 3 (to the power of x) times 4 (to the power of y)
The value of 3 times 4 times 4 times 3 times 3 times 4 in exponent is 3³ × 4³
What is an exponent?An exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
In this case, the expression given is 3 times 4 times 4 times 3 times 3 times 4. It should be noted that the 4 occurs three times as well as the 3.
Therefore, this will be 3³ × 4³.
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Neeeedddd Helpp Pls!!! I'll give brainliest to the person with the correct answer!
Show work please.
M∠M = 6x – 6 and m∠P = 4x + 10, what is m∠M?
a fabric designer is mapping out a new design. part of the pattern is formed by a repeating polygon the inital polygon has vertices ( -7, 3), (- 4,6), ( -1, 3) and (-4, 0) The next polygon is a translation of the first along the vector {3, -3}. Which is not a vertex of the image?
Considering the given translation, the vertex that is not part of the image is:
H(3,0).
What are the translations to an image?
The translations to an image are represented as follows:
The vector notation of a translation is given as follows:
{x ± a, y ± a}
In this problem, this notation is:
{3, -3}.
Hence the rule applied to each vertex of the image is:
(x,y) -> (x + 3, y - 3).
The vertices of the original figure are as follows:
( -7, 3), (- 4,6), ( -1, 3) and (-4, 0)
Applying the translation rule, the vertices of the image are given as follows:
(-4, 0), (-1, 3), (2, 0), (-1, -3).
The lone coordinate without a vertex of the image is H(3,0).
Missing InformationThe problem is given by the image at the end of the answer.
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I need help on this question and it is the last one please help!
Both function in item I is decreasing, and the function in item II is increasing.
What is function?
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
What is domain?
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
What is range?
The difference between the lowest and highest values in a list or set is known as the range. Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest. The range of the list is provided in the response.
1) As shown in the I that the function is in 3rd quadrant so thats why it decreases.
2)As show in II figure if ;
x1 = -1 ,y1 = -1
x2 = 0 , y2 =2
x3 = 1, y3 = 5
from the above observation it is clear that ;
x1<x2, y1<y2, x2<x3, y2<y3
So, the II item is increases (monotone increasing)
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Sheila is making accessories for the soccer team. She uses 784.96 inches of fabric on headbands for 28 players and 4 coaches. She also uses 238.28 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answer: 3.28 inches
Step-by-step explanation:
Fabric used for players and coaches is 776.32 inches.
Number of players is 29 and coaches is 3
So fabric used for each player and coach for the headbands is
776.32/29+3 = 24.26 inches
So, for the players 24.26 of fabric will be used for the headbands.
Total fabric used for the wristbands is 247.66 inches
Fabric used for the wristband is
247.66/29 = 8.54 inches
So, total amount of fabric used by Shelia for the wristband and headband is 24.26 + 8.54 = 32.8 inches.
Which statements are true about the ordered pair (−4, 0) and the system of equations? {2x+y=−8x−y=−4 Select each correct answer. Responses The ordered pair (−4, 0) is a solution to the first equation because it makes the first equation true. The ordered pair , begin ordered pair negative 4 comma 0 end ordered pair, is a solution to the first equation because it makes the first equation true. The ordered pair (−4, 0) is a solution to the second equation because it makes the second equation true. The ordered pair , begin ordered pair negative 4 comma 0 end ordered pair, is a solution to the second equation because it makes the second equation true. The ordered pair (−4, 0) is not a solution to the system because it makes at least one of the equations false. The ordered pair , begin ordered pair negative 4 comma 0 end ordered pair, is not a solution to the system because it makes at least one of the equations false. The ordered pair (−4, 0) is a solution to the system because it makes both equations true.
The statements that are true about the ordered pair (−4, 0) and the system of equations include the following:
The ordered pair (−4, 0) is a solution to the second equation because it makes the second equation true. The ordered pair (−4, 0) is not a solution to the system because it makes at least one of the equations false.How to determine the solution?In order to determine which statements are true with respect to a solution of the given system of linear equations, we would have to test the given ordered pairs by substituting their values into the linear equations as follows;
For ordered pair (-4, 0), we have:
2x + y = -8x
2(-4) + 0 = -8(4)
-8 = -32 (False)
For ordered pair (-4, 0), we have:
x - y = -4
-4 - 0 = -4
-4 = -4 (True).
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The screenshot included A crate of medicine with a density of 2050 kilograms per cubic meter that will be shipped from England to the U.S. What is the crate's density in pounds per cubic foot?
The crate's density in pounds per cubic foot?
What is the crate's density in pounds per cubic foot?Since the crate of medicine with a density of 2050 kilograms per cubic meter will be shipped from England to the U.S, we require its density in pounds per cubic foot.
To do this, we convert the density in kilograms per cubic foot to pounds per cubic foot by using the ratios of conversion given
Since the density of the crate in kilograms per cubic meter is
2050 kg/m³, using the conversion ratios, we have
2050 kg/m³ = 2050 kg/m³ × 1 m³/35.3 ft³ × 2.2 lb/kg
= 4510 lb/m³ × 1 m³/35.3 ft³
= 127.76 lb/ft³
So, crate's density is 127.76 lb/ft³
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