Find the equation of the line that contains the given point and is perpendicular to the given line. Write the equation in​ slope-intercept form, if possible.
(8,1); y=-8x-1

Answers

Answer 1

Answer:

y= ⅛x

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the gradient and c is the y-intercept.

Let's find the value of m first.

The product if the gradients of 2 perpendicular lines is -1.

Gradient of given line= -8

m(-8)= -1

m= -1 ÷(-8)

m= ⅛

y=⅛x +c

To find the value of c, substitute a coordinate.

When x=8, y=1,

1= ⅛(8) +c

1= 1 +c

c= 1 -1

c= 0

Thus, the equation if the line is y= ⅛x.


Related Questions

Plzzz answer ASAP. Plzz answer ALL three a,b,c

Answers

Answer:

I hope it helps . For any clarification , Please notify me through the comment section .

Step-by-step explanation:

[tex]f(x) = 3x-5\\g(x) = 2(x-1)\\ \\g(-3) = 2(-3-1)\\g(-3) = 2(-4)\\g(-3) = -8\\\\f[g(x)] = f(2(x-1)\\f[g(x)] = 3[2(x-1)]-5\\f[g(x)] = 3[2x-2]-5\\f[g(x)] = 6x-6-5\\f[g(x)] = 6x-11\\\\g[f(x)] = g[3x-5]\\g[f(x)] = 2[3x-5-1]\\g[f(x)] = 6x -10-2\\g[f(x)] = 6x -12[/tex]

PLEASE HELP THIS IS URGENT I AM BEING TIMED!!


Given the following list of data, is 9 the mean, the median, or the mode?
2, 7, 9, 8, 9, 4, 6

Answers

Answer:

The mode (number with the highest frequency or number with most appearance)

Answer:

Mode

Step-by-step explanation:

The number that occurs the most is 9.

is the dilation en enlargement or a reduction? what is the scale factor of the dilation?

Answers

Answer:

The dilation is an enlargement, and the scale factor is 2.  So, the answer is B.  

Step-by-step explanation:

The dilation is an enlargement, and the scale factor is 2.  

What is the scale factor?

The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.

The image of the object undergoing transformation is given.

From the attached object, we se that CP = 4.

Also CP' = 8

Thus; Scale factor is 8/4 = 2

Now, reduction is defined as reducing the dimensions while enlargement is increasing the dimensions by a scale factor.

Thus, the denominator of the scale factor is greater than the numerator, then there is a reduction.

The scale factor of the given dilation is; 2 and the dilation is a enlargement.

Read more about Transformations at;

brainly.com/question/4289712

#SPJ2

What is the equation of the translated function, g(x), if
f(x) = x2?
g(x) = (x - 4)2 + 6
g(x) = (x + 6)2 - 4
g(x) = (x - 6)2 - 4
g(x) = (x + 4)2 + 6

Answers

The answer is g(x) = (x+4)2+6

Answer:

D. g(x) = (x + 4)2 + 6

Step-by-step explanation:

I just took the test and this was the correct answer

PLEASE HELP ME OUT. THIS IS DUE TODAY.

Answers

Answer:

Round up because it is necessary to count the extra decimal payment as another payment. You can't round down because then it wouldn't all be paid off.

10 Points!!!

Which expression equals the fraction of the square that is shaded dark blue?

Answers

Answer:3/8

Step-by-step explanation: First we see that there are 8 squares and that 3 are shaded light blue and 3 are shaded dark blue so 3 out of the 8 squares are dark blue.

Answer:

1/2 * 3/4

Step-by-step explanation:

For every 4 hours of babysitting, Sam charges $30. If last month she earned $75, how many hours did she babysit ?​

Answers

10 hours. she babysat for 10 hours.

Answer:

10

Step-by-step explanation:

What is the slope of the line that goes through the points (1,5) and (4,1)

Answers

Answer:

[tex] - \frac{4}{3} [/tex]

Step-by-step explanation:

gradient formula:

[tex] \frac{y1 - y2}{x1 - x2} [/tex]

Thus, slope of the line

[tex] = \frac{5 - 1}{1 - 4} \\ = - \frac{4}{3} [/tex]

Slope of the line that passes through the points (1,5) and (4,1) is equals to [tex]\frac{-4}{3}[/tex].

What is slope?

" Slope is defined as the ratio of difference of the increase in y- coordinates to the difference of increase in x- coordinates."

Formula used

Two coordinates on line

[tex]( x_{1} ,y_{1})\\\\(x_{2}, y_{2})[/tex]

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

According to the question,

Given,

Point on the line

[tex]( x_{1} ,y_{1})= ( 1,5)\\\\(x_{2}, y_{2})= ( 4,1)[/tex]

Substitute the value to get the slope of the line,

Slope = [tex]\frac{1-5}{4-1 }[/tex]

          = [tex]\frac{-4}{3}[/tex]

Hence, slope of the line that passes through the points (1,5) and (4,1) is equals to [tex]\frac{-4}{3}[/tex].

Learn more about slope here

https://brainly.com/question/3605446

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Simplify.
0
10
3
(2.8 + 1.2)
6
NEED THE ANSWER NOW!!!

Answers

Answer:

Step-by-step explanation:

The tip of a pendulum moves through an angle of 0.38 radians. If the radius of the pendulum is 25
centimeters, then which of the following is the length of the arc the tip moves through?
(1) 4.7
(3) 7.8
(2) 6.1
(4) 9.5​

Answers

Answer:

 The length of  arc  'l' = 9.5

Step-by-step explanation:

Explanation:-

Given radius of the pendulum r = 25

The tip of a pendulum moves through an angle of 0.38 radians

     θ = 0.38 radians

The length of  arc  'l' = rθ

                             'l' = (25)(0.38)

 The length of  arc  'l' = 9.5                        

Answer plz!
Which choices are equivalent to the expression below? Check all that apply.

Answers

A, B and C but I’m contemplating D too but it’s def not E or F

The right options are:

Option A

Option B

Option C

Please see the attached picture.

hope it helps

Good luck on your assignment..

Please help this is urgent and I am being timed

Answers

Hi there!

Pauline simplified the expression correctly.

Pauline made sure she used the distributive property and combined like terms after doing so.

Hope this helps !

Find the volume of this problem

Answers

Answer:

Step-by-step explanation:

diameter = 6 in

r = 6/2 = 3 in

h = 11 in

Volume of cylinder = πr²h

                                = 3.14*3*3*11

                                = 310.86 in³

A golfer exerts a force of 15.0 N on a golf ball that has a mass of 0.42 kg. What is the golf
ball's acceleration?

Answers

Answer:

35.71m/s²

Step-by-step explanation:

using the formula force(F)=mass(m)×acceleration(a)

a =

[tex] \frac{f}{m} [/tex]

F=15.0N

m=0.42kg

a=?

a=15÷0.42

a=35.71m/s²

Answer:

C

Step-by-step explanation:

11) Omar is flying a kite on a 50-foot string at a diagonal distance. The kite gets stuck at the top
of a 40-foot tree. How far is Omar from the tree?

Answers

Answer:

30 ft

Step-by-step explanation:

We have a right triangle.

Hypotenuse = c = 50 ft

Leg  #1 = a = 40 ft

Leg#2 = b = ?

We need to use Pythagorean Theorem

c² = a² + b²

50² = 40² + b²

b² = 2500 -1600 = 900

b = 30

What happens when the supply of a nonperishable good is greater than the consumer wants to buy?

A. either the good remains unsold or the price drops

B. the good becomes a luxury and the price rise

C. either the good is saved for later sale or the price is raised

D. the good is discarded

Answers

Answer:

A. either the good remains unsold or the price drops

A. Rut r the good Ramains unsold or the price drops

A car travels on a highway at a constant speed of 67 miles per hour. Which equation and table shows the correct relationship between , the number of hours, and , the distance traveled

Answers

Answer:

distance ÷ 67 = how many hours took to ride that much

you can use a normal table that looks like the ones on google when you search up "tables in math"

I'm sorry for this short answer! I'm in a rush but I hope this helped!

∠1 and ∠2 are supplementary. If m∠1 = (3x - 17)° and m∠2 = (5x + 21)°. Find the value of x.

Answers

Answer:

Step-by-step explanation:

∠1 + ∠2 = 180   {supplementary}

3x  - 17  + 5x + 21 = 180    

Add the like terms

8x  + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Answer:

x = 22

Step-by-step explanation:

Supplementary angles add to 180

<1+ <2 =180

(3x - 17) + (5x + 21) = 180

Combine like terms

8x +4 = 180

Subtract 4 from each side

8x +4-4 = 180-4

8x = 176

Divide each side by 8

8x/8 = 176/8

x = 22

please need help I will be MARKING as BRIANILIST. thank you so much. ​​

Answers

Answer:

C

Step-by-step explanation:

5 lemons for $2.00

1 lemon is for 2/5=$0.40

Answer:

The answer is option C) $0.40

Step-by-step explanation:

Cost of 5 lemons= $2.00

cost of 1 lemon= 2.00/5

                        = 0.40

therefore $0.40 is the unit cost of each lemon in the bag.

Hope this helped you.

Which of the following figures has a pentagon as its base? A cube B pentagonal prism C triangular prism D rectangular prism

Answers

Answer:

Option B. Pentagonal prism

Step-by-step explanation:

Option (A). Cube

Base of a cube is a square.

Option (B). Pentagonal prism

A prism is always defined by its base.

Example: triangular prism, rectangular prism

Therefore, pentagonal prism will have a base in the shape of a pentagon.

Option (C). Triangular prism

Triangular prism will have a triangular base.

Option (D). Rectangular prism

Rectangular prism will have a rectangular base.

What is 2 less than a number

Answers

Answer:

2<x

Step-by-step explanation:

less than x

Answer:

n-2

Step-by-step explanation:

lets put the variable N to mean the "number"

Subtraction is used to take away a certain amount, so 2 less than is that certain number subtracted 2

which can be written as n-2

How many dimensions does a plane have?
Ο Α. Two
O B. Zero
O C. One
O D. Three​

Answers

Answer:

2

Step-by-step explanation:

In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far

How many dimensions does a plane have?

● Α. Two

O B. Zero

O C. One

O D. Three

Leticia is cutting a board to make a ramp for her skateboard. The ramp will slope from the ground up to a height of 4 feet. The board will make an angle of 25° with the ground. How long should she cut the board for her ramp? *
1 point



9.46 feet long



4.41 feet long



8.58 feet long



10 feet long

Answers

Answer:

Correct option: first one -> 9.46 feet long

Step-by-step explanation:

To find the length of the board for her ramp, we just need to use the sine relation of its angle with the ground.

The opposite side to the angle is the height of the ramp, and the hypotenuse of the triangle formed is the length of the board. So, we have that:

sin(25°) = height / length

0.4226 = 4 / length

length = 4 / 0.4226

length = 9.4652 feet

So the length of the board should be 9.46 feet (correct option: first one)

Simplify: (–2x+y)(-58 y)
O 10x10,
10xv2
10xy
10x10 ,

Answers

Answer:

Choice C

Step-by-step explanation:

[tex](-2x^2y)(-5x^5y^3)=\\\\(-2)(-5)\times (x^2)(x^5)\times (y)(y^3)=\\\\10x^7y^4[/tex]

Hope this helps!

Answer:

10x7 y 4

Step-by-step explanation:

i just answered it

Solve & Share
Evaluate the expression 3+ (6 – 2) X 4.
Solve this problem using the order of operations.
3 + (6 – 2) X 4

Answers

Answer:

[tex]19[/tex]

Step-by-step explanation:

[tex]3 + (6 -2) \times 4[/tex]

[tex]3 + (4) \times 4[/tex]

[tex]3 + 16[/tex]

[tex]=19[/tex]

Answer:

19

Step-by-step explanation:

use the other of operations

Pls help I’ve already tried 3/11 but it says it wrong

Answers

Answer:

12

Step-by-step explanation:

Alr so correct me if I'm wrong but I think you made a mistake. It says find 44 of those rectangles. You found just 1 in that case which the area is 3/11. You have to do 3/11 X 44 which is

3/11 x 44/1 = 132/11 = 12.

As I said, correct me if I'm wrong.

Hope this Helps!

the length of segment TQ= 29. explain how to find the length of segment QV. make sure to put the sentence in this form. statement then the because.
helpppp ):

Answers

Answer:

Length of segment QV = 35 units

Step-by-step explanation:

As shown in the figure attached,

Diagonals of TQVS are perpendicular to each other. Therefore TQVS will be a kite. By the property of a kite,

"There are two pairs of the sides which are equal in measure."

Therefore, TS ≅ TQ and SV ≅QV

Since TS ≅ TQ,

3x + 2 = 29 [Given: TQ = 29 units]

3x = 29 - 2

3x = 27

x = 9

Another pair of the consecutive sides is,

SV ≅ QV ≅ (4x - 1)

By substituting the value of x,

QV = (4 × 9) - 1

     = 36 - 1

     = 35 units

Therefore, length of segment QV = 35 units

Twin brothers need help can anybody help them?

Answers

Answer:

210 cm^2

Step-by-step explanation:

3x-1 + 4x+1 + 3x = 70

10x = 70

x = 7

Now, Area of the triangle is 1/2 * b * h

therefore,

1/2 * 3x * 3x-1

1/2 * (3*7) * (3*7 -1)

1/2 * 21 * 20

21 * 10

210

210 is the area!

Hope this helps! mark as brainliest if helped! thanks!

210 cm^2

3x-1 + 4x+1 + 3x = 70

Simplify  

10x = 70

divide by 10

x = 7

So,

1/2 * 3x * 3x-1

1/2 * (3*7) * (3*7 -1)

1/2 * 21 * 20

21 * 10

210 would be your final answer

Step-by-step explanation:

The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. 8.54 9.54 11.00 24.00

Answers

Answer:

Step-by-step explanation:

Hypotenuse^2=3^2+8^2

Hypotenuse^2=9+64=73

Hypotenuse =square root of 73

Hypptenuse =8.54

Answer:

8.54

Step-by-step explanation:

I took a test

Solve: StartFraction 10 Over x EndFraction = 2 a. x = 5 c. x = 20 b. x = 10 d. x = 15 Please select the best answer from the choices provided A B C D

Answers

solve: [tex]\frac{10}{x}[/tex] = 2

Answer:

a. x= 5

Step-by-step explanation:

To solve the question given, we will follow the steps below;

[tex]\frac{10}{x}[/tex] = 2

multiply x to both-side of the equation

[tex]\frac{10}{x}[/tex] × x= 2× x

at the left-hand side of the equation, x will cancel-out x, leaving us with 10

10 = 2x

divide both-side of the equation by 2

10/2 = 2x/2

at the right-hand side of the equation, 2 at the numerator will cancel-out 2 at the denominator leaving us with just x, while on the left-hand side of the equation, 10 will be divided by 2

5 = x

x=5

Answer:

a

Step-by-step explanation:

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