Answer:
y = (2/3)y - 2
Step-by-step explanation:
Linear equations of the form y=mx+b, describe the slope, m, and the y-intercept, b (the value of y when x=0).
Line K
y = -(3/2)x + 1 tells us that it has a slope of -(3/2) and crosses the y axis (x=0) at y = 1.
Perpendicular Lines
Perpendicular lines have a useful property in that they have a slope that is the "negative inverse" of the line they are perpendicular to. If, for example, we were ever asked what is the slope of a line perpendicular to Line L (yes, it happens), we could, with minimal effort, respond "It is the negative inverse of -(3/2)," which is a slope of (2/3).
Line L
We just accidently answered a key question when we found the negative inverse of the slope for Line K, (2/3). That will be the slope of Line L that will make it perpendicular to Line K.
Line L will have the form y = (2/3)x + b
This line will be perpendicular to Line K, no matter the value of b. But we want a perpendicular line that goes through point (6,2), so we need to find a value of b that will force it to go through that point.
The role b has in our equation is simply moving it up or down. If b were 0, the line will go through the origin (0,0). If b were 5, it would interect the y axis at 5 (0,5). We could draw a graph and get a pretty good idea what b would have to be for the line to go throgh (6,2), but most prefer the easier route: Use the (x,y) value in the above equation and solve for b. Its easy, and works great:
y = (2/3)x + b for (6,2)
2 = (2/3)(6) + b
b = 2 - (2/3)*(6)
b = 2 - 4
b = -2
The equation for Line L is thus: y = (2/3)y - 2
See the attached graph. Included are equations [marked Demo Line 1 and 2] with 2 random values of b (1 and 0), in order to:
demonstrate how b impacts the line, andsuggest try using DESMOS as a free online graphing tool.
Write an equation for the line parallel to the given line that contains the given point.
Line: 8y=6x+5 Point: (-8,-10)
Please answer quick!!
The linear equation parallel to 8y=6x+5 is:
y = (3/4)*x - 4
How to find the equation of the parallel line?Remember that two linear equations are parallel if and only if both lines have the same slope and different y-intercept.
Here we want to find a line parallel to:
8y = 6x + 5
Rewriting this in slope-intercept form we get:
y = (6x + 5)/8
y = (3/4)*x + 5/8
Then a parallel line to this one will be:
y = (3/4)*x + b
To find the value of b, we use the fact that this line must pass through the point (-8, -10).
-10 = (3/4)*(-8) + b
-10 = -6 + b
-10 + 6 = b
-4 = b
Then the linear equation is:
y = (3/4)*x - 4
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Need Help With Explaining and ASAP please! And check if I’m correct!
Answer:
yhj
Step-by-step explanation:
all in the text bag with you high bag GM DJ tee SB hy DJ DJ TV DJ DJ DJ DJ CB jus DJ tty 464+7557+56(6)=7
7×25
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
175
how will convert it in mixes fraction when there is no division number
how would you respond to a statement that says that by increasing the sample size, the amount of sampling error will be decreased?
The statement about That by increasing the sample size, the amount of sampling error will be decreased is true.
Given that,
That by increasing the sample size, the amount of sampling error will be decreased
Sampling error is inversely related to sample size. Therefore, if we expand the size of our sample, the likelihood of sampling error is reduced and the results are more trustworthy. The standard error is the term used to describe the sampling error that is most frequently utilized (SE). A measurement of the range of estimations around the "actual value" is the standard error. You get a lower return by increasing the sample size beyond what you already have because the added accuracy won't make much of a difference.
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Evaluate -7(x – 4y) when x = −4 and y = −6 a140 b52 c-28 d-140
Answer: D
Step-by-step explanation:
-7(-4-(4)(-6))
-7(-4-(4)(-6))
=140
Jane is counting the cars going by her house. There are 3 blue cars, 12 white cars, and 1 red car. What is the ratio of white cars to blue cars?
Answer:
4:1
Step-by-step explanation:
12÷3=4
3÷3=1
white to blue
12 : 1
What is the area of the shaded portion of the parallelogram? Dimensions are in centimeters.
The area of the shaded portion of the parallelogram is 35.43 centimeter square
The base of the parallelogram = 8 centimeter
The height of the parallelogram = 6 centimeter
The area of the parallelogram = Base × Height
= 8 × 6
= 48 centimeter square
The radius of the circle = 2 centimeter
The area of the circle = π × [tex]r^2[/tex]
= π × [tex]2^2[/tex]
= 12.57 centimeter square
The area of the shaded region = The area of the parallelogram - The area of the circle
Substitute the values in the equation
= 48 - 12.57
= 35.43 centimeter square
Hence, the area of the shaded portion of the parallelogram is 35.43 centimeter square
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Find the nth term : 6, 12, 22, 36…
The nth term of the given sequence is 6n
The given sequence is 6, 12, 22, 36,....
The formula to find the nth term is
T(n) = a + (n-1)d ... (1)
Where n is the number of terms
a is first term
d is common difference
Here
n = n. a = 6,
d = 12 - 6 = 6
Substitute the values in equation (1)
T(n) = 6 + (n-1)6
⇒ T(n) = 6 + 6n - 6
⇒ T(n) = 6n
Hence the nth term of the given sequence is 6n
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PLEASE HELP ME!!!!!!
Answer:
7/65
Step-by-step explanation:
what is the anewers to -9(1/2x-3)=
The expression -9(1/2x-3) is -9/2x + 27.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
-9(1/2x-3)
Now, solving the above expression as
-9 x 1/2x= -9/2x
-9(-3)= +27
So, -9(1/2x-3) = -9/2x + 27
Hence, the expression is -9/2x + 27.
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a certain car travels at a constant speed of 40 miles per hour. how far does the car travel in 45 minutes
The car travels 30 miles in 45 minutes with the speed 40 miles/hour with the constant speed.
What is speed?Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. In other words, velocity is a vector, whereas speed is a scalar value. The distance traveled by a moving object in a specific amount of time is its speed. How quickly something is moving is determined by its speed. The distance traveled by an object in a given amount of time divided by the time gives the object's average speed.
Here,
45 minutes/60 minutes= .75 hours (this gives you the amount of time in hours)
time x speed = distance
.75 hours time x 40 mph speed = 30 miles distance
With a constant speed of 40 miles per hour, the car covers 30 miles in 45 minutes.
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Part of the graph of a quadratic function is graphed below. Between which two integers will the graph again cross the x-axis?
From the coefficients of the quadratic equation and the vertex of the parabola, it was found that the graph again crosses the x-axis in x=7.
Quadratic Function
The standard form for a quadratic equation is ax²+ bx + c=0, where: a, b and c are your respective coefficients. In the quadratic function, the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
For solving the quadratic function, you should find the discriminant: Δ=b²-4ac and then use this variable in the formula: [tex]\frac{-b \pm \sqrt{\Delta} }{2a}[/tex] .
The given equation is a quadratic function because have a degree equal to 2. Therefore, the graph is represented by a parabola. The vertex of the parabola is given by the coordinates(xv= -b/2a, yv= -Δ/4a).
From the given figure, it is possible to see that:
the graph crosses the x-axis in x= -1 the graph crosses the y-axis in y=2. xv=3 and yv=7For x= -1, you have y=0, then:
ax²+bx+c=0 -> x=-1
a (-1)²-b+c=0
a*1-b+c=0
a-b+c=0 (1)
For y= 2, you have x=0, then:
ax²+bx+c=0
a*0²+b*0+c=2
0+0+c=2
c=2 (2)
As, a-b+c=0 (1) and c=2 (2), you have:
a-b+c=0
a-b+2=0
a-b=-2 (3)
Now, you should use the information about the xv.
[tex]x_v=\frac{-b}{2a} =3[/tex]
-b=6a
b=-6a
From equation 3, you will find the coefficient a .
a-b=-2 (3)
a-(-6a)= -2
a +6a =-2
7a= -2
a=-2/7
If a= -2/7, from equation 3 you can find the coefficient b.
b=-6a = -6* (-2/7)=12/7
Thus, the quadratic equation of the plot is: ax²+bx+c
[tex]f(x)=-\frac{2}{7}\cdot \:x^2+\frac{12}{7}\cdot \:x+2[/tex]
Now, you should find the roots for the found equation :[tex]f(x)=-\frac{2}{7}\cdot \:x^2+\frac{12}{7}\cdot \:x+2[/tex].
[tex]x_{1,\:2}=\frac{-12\pm \sqrt{12^2-4\left(-2\right)\cdot \:14}}{2\left(-2\right)}[/tex]
[tex]x_1=\frac{-12+16}{2\left(-2\right)}=-1,\:x_2=\frac{-12-16}{2\left(-2\right)}=7[/tex]
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the sum of three integers is 32. the sum of the first and second integers exceeds the third by 82. the third integer is 16 less than the first. find the three integers.
The values of the three integers are:
x= -9, y=66, z= -25
What is meant by an equation?In French, an equation is defined as having one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.
In order to solve an equation with variables, you must first determine which variables' values make the equality true. Unknowns are the variables for which the equation must be solved, and equation solutions are the values of the unknowns that satisfy the equality..
Given,
Sum of three integers= 32
x+ y+ z=32 →1
And also given that,
x+ y= z+82 →2
z+16=x →3
By solving equation 1, we get
z+16+y+z=32
2z+y=16 →4
By solving equation 2, we get
z+16+y= z+82
y=82-16
y=66
By solving equation 4, we get
2z+66=16
2z=-50
z=-25
By solving equation 3, we get
x=z+16
x=-25+16
x=-9
Therefore, the three integers are x=-9, y=66, z=-25
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Write inequalities to represent the situations below.
Ann exercises no less than 40 minutes per day.
Use t to represent Ann's amount of exercise (in minutes per day).
The inequalities to represent the Ann situation is t > 40.
How to model a situation with inequalities?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
In Mathematics, the relationship between two values that are not equal is defined by inequalities.
Therefore, an expression with an inequalities have the signs <, >, ≤ and ≥.
Let's represent the situation with an inequalities.
Therefore, Ann exercises no less than 40 minutes per day.
let
t = Ann's amount of exercise (in minutes per day).
The inequalities to represent the situation is as follows:
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can someone make a systems of equations word problem using (2, -2)? i included the equation
The word problem including the given equation is mentioned below.
Given, a system of equations
x + y = 0
2x - y = 6
We have to make a word problem using the given system of equations.
Ram and Rahul are two friends and both attempt a test of 10 marks. Now, Ram prepared for the test whereas Rahul didn't prepared for the test and marked the wrong answers in the test. If negative marking is allowed in the test and it is given that, sum of the marks of both the students is zero. Also, twice the marks of Ram is 6 less than the marks of Rahul.
Find the marks of both the students.
Hence, the word problem including the given equation is mentioned above.
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what is the difference between shallow foundations and deep foundations? where would you recommend the use of deep foundations? explain.
Deep foundations are recommended for larger or hillside developments , or those on poor soil .
Foundation Systems in Building
There are two classifications of foundations in building shallow foundations and deep foundations . These categories refer to the depth of soil in which the foundation is formed .
Shallow Foundations : Shallow foundations are usually located less than six feet below the lowest finished floor of a structure.
Deep Foundations : Deep foundations are structural elements that are used to transfer loads from weak and compressible soils to a stronger layer, usually located at a significant depth below the ground.
Recommendation
A shallow foundation can be constructed in as little as a one-foot depth , whereas a deep foundation is formed at a depth of 10 - 300 feet . Deep foundations are recommended for larger or hillside developments , or those on poor soil .
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Answer:
Step-by-step explanation: A shallow foundation distributes loads from the building into the upper layers of the ground.
Shallow foundations perform very well on sites with strong soils, sufficiently thick natural gravel rafts overlying weaker soils or where robust, engineered ground improvement is carried out.
Deep foundations can provide a good foundation for houses on sites with poor soil conditions near the surface,
Im not sure how to do this, could one of you give me the answer on how to do this?
Answer:
2x+4=52
2x+19=67
2x+13=61
(I gotta be honest I can’t fully remember how to name the angles but to not set you astray I just put the equation each angle goes to)
x=24
Step-by-step explanation:
the sum of all three angles is equal to 180 degrees
So we can add all of these angles and set it equal to 180 like this
(2x+19)+(2x+4)+(2x+13)=180
Simplify by adding common terms
6x+36=180
-36. -36
6x=144
/6. /6
x=24
So now to find the angles we just fill in x with 24
2(24)+4
48+4
52
2(24)+19
48+19
67
2(24)+13
48+13
61
Hopes this helps please mark brainliest
Solve the equation: 4 - 2y + 3 = - 9. What is y equal to?
Answer:
b
Step-by-step explanation:
In the given equation 4 - 2y + 3 = - 9, y is equal to 8.
The equation is a statement in which the values of two mathematical expressions are equal (indicated by the sign =).
To find the value of y from the given equation
∴ 4 - 2y + 3 = - 9
=> 4+3 -2y = -9
=> 7 - 2y = -9
=> 7 + 9 = 2y
=> 16 = 2y
=> 16/2 = y
=> 8 = y
=> y = 8
So, the value of y in the above equation 4 - 2y + 3 = -9 is 8.
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The temperature over the course of a day was being monitored. In the morning, the temperature was −3°F. In the middle of the day, the temperature rose to 12°F. After dark, the temperature dropped again to −6°F. What was the average temperature for the day?
A. −3°F
B. −1°F
C .1°F
D. 3°F
Write each trigonometrie ratio as a fraction and as a decimal rounded to the nearest hundredth.
Sin C
The ratio sinC is given by 4/5 and in decimal form is given by sinC = 0.8.
What is meant by Trigonometric Ratio?The trigonometric functions are real functions in mathematics that connect the angle of a right-angled triangle to the ratios of its two side lengths. They are also known as circular functions, angle functions, or goniometric functions. They are extensively employed in all geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many more. As some of the most basic periodic functions, they are frequently employed in Fourier analysis to examine periodic events.
The sine, cosine, and tangent are the trigonometric functions that are most commonly utilized in contemporary mathematics. The cotangent, secant, and their less common reciprocals, the cosecant, are each of their reciprocals. These six trigonometric functions each have an analog in the hyperbolic functions, as well as an equivalent inverse function.
The value of sin C is given by
sinC = perpendicular/ hypotenuse
sinC = AB/AC
sinC = 4/5
In decimal form, it is written as
sinC = 0.8
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A football team averaged a loss of 8 yards in each of 4 plays. If they did not gain any yards, what was the net yardage the team had after those 4 plays?
What is the answer?
The net yardage the team had after those 4 plays is -32.
How to calculate the value?From the information, the football team averaged a loss of 8 yards in each of 4 plays.
In a situation where they did not gain any yards, the net yardage the team had after those 4 plays will be:
= Yards loss × Number of matches
= -8 × 4
= -32
This illustrates the concept of multiplication that was used to calculate the net yardage.
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PLEASE HELPPP!!!! DESPERATEEEEEEE
Pablo has a goal to lose 25lb. He has lost 16lb. What percent of his goal has been reached
A writer earns $3400 a month. Last month she spent 204 on food. what percent of her income was spent on food
Kermit and Miss Piggy are a part of a close group of 10 Muppets. Four of the Muppets are randomly selected to
do press for their next movie. What is the probability Miss Piggy will do press but Kermit will not?
A.4/15
B.1/15
C.1/24
D.None of the above
Answer:
d
Step-by-step explanation:
Because answer would be 4/10 or 5/10
Work out 3^8 =9root3
4. The length of a rectangle is 4 inches greater than the width. The perimeter of the rectangle is 24 inches. What are the dimensions of the rectangle? length = 8 in.; width = 4 in length = 6 in.; width = 2 in. length = 12 in.; width = 8 in. length = 8 in.; width = 6 in.
The width of the rectangle is 4 inches and length of the rectangle is 8 inches.
Given,
The width of the rectangle = x inches
The length of the rectangle = x + 4 inches
Perimeter of the rectangle = 24 inches
We have to find the dimensions of the rectangle;
Here,
Perimeter of rectangle = 2(length + width)
So,
24 = 2(x + 4 + x)
24/2 = 2x + 4
12 - 4 = 2x
x = 8/2
x = 4.
That is,
Width of the rectangle = 4 inches
Length of the rectangle = 4 + 4 = 8 inches.
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can someone please doordash me something like i will give brainly 5 stars and spotify premium just 10 dollars please
i gotchu what do u want
Shaq is climbing on the side of a mountain. From a spot on the
4
1/2 of
mountain, he climbs up of a kilometer. He then climbs down
5
a kilometer. How many kilometers is Shaq from his original starting
point?
In linear equation, 22.5 kilometer is Shaq from his original starting point.
What is linear equation?
The algebraic equation y=mx+b is known as a linear equation. m being the slope and b being the y-intercept, and just a constant and a first-order (linear) term are used. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.Shaq is he climbs up on the side of a mountain = 4 1/2 = 9/2
then he climbs down = 5 kilometer
Shaq from his original starting point = 9/2 * 5
= 45/2 = 22.5 kilometer
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Find the total surface area of the cone in the figure. (Use π = 3. 14. )
Question 12 options:
A)
266. 9 cm2
B)
219. 8 cm2
C)
314. 0 cm2
D)
282. 6 cm2
The correct option A, 266. 9 cm²; total surface area of the cone given in figure is found as 266.9 sq cm.
Define the term surface area of cone?A cone's surface area is the total area that its surface takes up in a 3D plane. That curved surface area plus its circular base area will add up to the object's total surface area.A cone's surface area is calculated as the sum of its curved surface area and base area, or πr² + πrL, where r is the radius of the cone's base and L is its slant height.For the given question.
Height of cone - 12 cm Radius of cone - 5 cm π = 3. 14Put values -
Total surface area = πr (h + r)
Total surface area = 3.14 x 5 (12 + 5)
Total surface area = 3.14 x 5 x 17
Total surface area = 266.9 sq cm.
Thus, total surface area of the cone given in figure is found as 266.9 sq cm.
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a mixture of 3% disinfectant solution is to be made from 5% and 2% disinfectant solutions. how much of each solution should be used if 21 gallons of 3% solution are needed?
To make 21 gallons of 3% disinfectant solution, 7 gallons of 5% solution are used, and 14 gallons of 2% solution are used.
21 gallons of the 3% solution is required.
Therefore, the amount of disinfectant in the solution
= 3/100 X 21 gallons
= 0.63 gallons
Let the amount of 5% disinfectant solution used be x
Therefore,
the amount of 2% disinfectant solution used is (21 - x)
Now, the amount of disinfectant added through these solutions must be equal to the amount of disinfectant in the solution.
Hence,
5/100 X x + 2/100 X (21 - x) = 0.63
or, 5x/100 + (42 - 2x) / 100 = 0.63
or, 0.05x + 0.42 - 0.02x = 0.63
or, 0.03x = 0.63 - 0.42
or, 0.03x = 0.21
or, x = 0.21 / 0.03
or, x = 7
Therefore 21 - x = 14
Hence 7 gallons of 5% solution is used and 14 gallons of 2% solution is used.
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simplify
2√3/16-√75/16+2√27/16
Answer:
3.24759526401
Step-by-step explanation:
divide that