Find an equation of the line perpendicular to the graph of 14x-7y=8 passing through the point at (-2,5)

Answers

Answer 1

Answer:

Equation of line perpendicular to given graph is:

[tex]y = -\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Given equation of line is:

14x-7y=8

First of all, we have to convert the given equation into slope-intercept form to find the slope of the line

The slope-intercept form is:

[tex]y = mx+b[/tex]

Now

[tex]14x-7y=8\\14x-8 = 7y\\\frac{7y}{7} = \frac{14x-8}{7}\\y = \frac{14}{7}x - \frac{8}{7}\\y = 2x - \frac{8}{7}[/tex]

The co-efficient of x is 2 so the slope of given line is 2

Let m1 be the slope of line perpendicular to given line

The product of slopes of two perpendicular lines is -1

[tex]m.m_1 = -1\\2.m_1 = -1\\m_1 = -\frac{1}{2}[/tex]

The equation for line perpendicular line to given line will be:

[tex]y = m_1x+b\\y = -\frac{1}{2}x+b[/tex]

To find the value of b, putting (-2,5) in the equation

[tex]5 = -\frac{1}{2}(-2) + b\\5 = 1+b\\b = 5-1\\b = 4[/tex]

The final equation is:

[tex]y = -\frac{1}{2}x+4[/tex]

Hence,

Equation of line perpendicular to given graph is:

[tex]y = -\frac{1}{2}x+4[/tex]


Related Questions

Distance between (-9,-6) and (-6,-8)

Answers

Answer:

The distance is....

5

Step-by-step explanation:

What’s the solution for 2x =8

Answers

Answer:

4

Step-by-step explanation:

2x = 8

x = 4

Answer: x=4

Step-by-step explanation:

2x = 8

x = 8/2

x = 4

Check: 2(4)=8

PLZ PLZ PLZ HELP MEEEE

Answers

Answer:

open comment

please mark me brilliant

I Believe the answer is 16 and 4

what is the LCM of 9,12,16​

Answers

Answer: The Least Common Multiple (LCM) for 9, 12 and 16, notation LCM (9,12,16), is 144.

Answer:

its 144

Step-by-step explanation:

A mountain climber ascends 800 feet per hour from his original
position. After 6 hours, his final position is 11,600 feet above sea
level. Find the climber's original position,

Answers

Answer:

4,800

Step-by-step explanation:

Just multiply 800 x 6, which gets 6,800. Then, get 11,600 and subtract 6,800 from it. You'll get 4,800.

Which of the following correctly uses absolute value to show the distance between -80 and 15? (5 points)

a
|-80 - 15| = |-95| = -95 units

b
|-80 + 15| = |-65| = 65 units

c
|-80 - 15| = |-95| = 95 units

d
|-80 + 15| = |-65| = -65 units

Answers

Answer:

it's answer is b

|-80+15| = |-65| = 65 units

Hope this helps :)

This question is about displacement. Displacement is a set of vectors. So the answer is - can't be + can't be.

so,answer-b

Please help me answer this question thank you.

Answers

Answer:

122°

Step-by-step explanation:

10a + 2° + 5a - 2° = 180° [ being linear pair ]

15a = 180°

a = 180° / 15

a =12°

Now

<XYQ = 10a + 2° = 10 * 12° + 2° = 120° + 2° = 122°

Hope it will help :)

Find the value of x in the triangle shown below choose 1 answer

Answers

Answer:

x=10

Step-by-step explanation:

X^2=6^+8^

x^2=36=64

x^2=100, square root of 100 =10

x=10

its 10 ! hope this helps !

plzzzzz help plz i need this answer

Answers

Answer:

Step-by-step explanation:

3x - 4 = x + 4

2x - 4 = 4

2x = 8

x = 4

BC = 4 + 4 = 8

I don't understand the way they've arranged the statement...

Answers

can’t see the picture

What value of x is in the solution set of 4x - 12 < 16 + 8x?
0-10
O-9
08
O 7

Answers

Answer: 7 and 8

Step-by-step explanation:

[tex]4x-12 < 16+8x\\\\-12 < 16+4x\\\\-28 < 4x\\\\-7 < x \\\\x > -7[/tex]

So, both 7 and 8 are in the solution set.

need help its 7th grade math​

Answers

Answer:

1 inch represents 60 feet.

Step-by-step explanation:

120/2

= 60

So his scale is 1:60

Answer:

Its 1 inch represents 60 ft

Step-by-step explanation:

you have to divide 120 by 2 and thats 1 inch per 60 feet

Suppose a classroom where a debate is being held has an area of 252 square feet. If the classroom is 14 feet wide, how long is the classroom?

Answers

Answer:

18 feet long

Step-by-step explanation:

252 ÷ 14 = 18

:)

Ji Sunn spent $24 at the local farmer’s market. She bought apples that cost $4 per pound and raspberries that cost $6 per pound. Which equation can be used to represent the amount of raspberries, r, in terms of apples, a?
r = 4 minus two-thirds a
r = 4 + two-thirds a
r = 6 minus three-halves a
r = 6 + three-halves aThe formula for electrical power is P = I V. Which is the equivalent equation solved for i?

Answers

Guddyfivkgjgufitougufug

I don’t understand someone please help ! In the bottom it says follow the steps above to find the equation of these two trend line
1.(x2 , y2) =(3,12 ) ( x1 , y1) =(-6,-6)
2.(x 2 , y2 ) =(2,7 ) ( x1 ,y1) =(-2,-5)

Answers

Answer:

I really dont know

Step-by-step explanation:

Answer:

step below

Step-by-step explanation:

1. (0,9) (9,0) or (7,2) or (1,8)

2. m = rise/run = (0-9) / (9-0) = -1

3. y = mx + b   for point (9,0)

y intercept ( b) = y - mx = 0 - (-1)*9 = 9

4. equation for trend line: y = -x + 9

check use (7,2): 2 = -7 + 9

Simplify the expression below:

5(2x - 4y)​

Answers

Answer:

10x-20y

Step-by-step explanation:

5 x 2x - 5 x 4y

10x - 20y

Answer:

10 • (x - 2y)

Step-by-step explanation:

Pull out like factors :

    2x - 4y  =   2 • (x - 2y)

Final Result:

 10 • (x - 2y)

What are the pros and cons of using social media from the candidate's perspective?

Someone plz help last one for 100 Pt grade

Answers

Answer:

Pro: It can give greater insight into an applicant's abilities. ...

Con: It could reveal protected information. ...

Pro: It can reveal ugly incidents. ...

Con: It isn't always reliable. ...

Pro: It can make an even better case for an employee. ...

Con: It could raise equal employment opportunity concerns.

Step-by-step explanation:

got it right

Learning task 2
A.for this learning task,be able to supply the missing value if y varies jointly or if y varies both directly and inversely to x and z.

Answers

Step-by-step explanation:

Row 1

k=2 ,  Equation: y=2xz

Row 2

x=10, k=2

Row 3

y= 192,  Equation: y= 4xz

Row 4

z= 2, k= 3

Row 5

x= 16/3, k= 3/4

Note. The equation should be y = 3/4xz, not y = 3/4xy

Given mn, find the value of x.
+
(x-3)
(8x+3)

Answers

Answer

x=20

Step-by-step explanation:

  (x-3) + (8x+3) = 180

         9x = 180

            x=20

What is the solution to the system of equations graphed below?

Answers

Answer:

a) (2,4)

Step-by-step explanation:

it's where the points meet

If f(x)=2x and g(x) = x-4 what is the value of g(f(3)) ?

Answers

Answer:

The value of g(f(3)) = 2

Step-by-step explanation:

We are given:

[tex]f(x)=2x[/tex]

[tex]g(x) = x-4[/tex]

And we need to find g(f(3))

First we need to find g(f(x))

by putting the value of f(x) into g(x) i.e put x = 2x

[tex]g(x)=x-4\\g(f(x))=2x-4[/tex]

Now, we need to find g(f(3)) by putting x = 3 in g(f(x))

[tex]g(f(x))=2x-4\\Put\: x=3\\g(f(3))=2(3)-4\\g(f(3))=6-4\\g(f(3))=2[/tex]

So, the value of g(f(3)) = 2

3 + 7 Is what

A) 10

B) 18

C) 37

Answers

Answer:

A)10

Step-by-step explanation:

hope it helps u

Can someone tell just the answer

Answers

Answer:

Option D is correct .

Step by step explanation:

A function is given to us and we need to find its inverse . The function is g(x) = -2x⁵ - 2.

So for finding its inverse , exachange x with y .

⇒ g(x) = -2x⁵ - 2 .

Let g(x) = y ,

⇒ y = -2x⁵ - 2 .

Replace x with y ,

⇒ x = -2y⁵ - 2

⇒ x + 2 = -2y⁵

⇒ y⁵ = x+2 / -2

⇒ y⁵ = (-1) ( x + 2) / (-1)(-2)

⇒ y⁵ = -x - 2/ 2

y = [ ( -x -2)/2 ]

Hence the inverse of the function is ,

[tex]\boxed{\red{\bf f^{-1}(x)=\sqrt[5]{\dfrac{-x-2}{2}}}}[/tex]

Hence the correct option is (D) .

6th grade math help me plzzz

Answers

Answer:

D

Step-by-step explanation:

Answer:

answer is d

2upon7

hope you understand

What is 4.35 divided by 2.5?​

Answers

answer:
it’s 1.74

explanation

Answer:

1.74

Step-by-step explanation:

Which of these factions are greater than 11/20

Answers

So they have certain numbers we have to pick on the question if not then anything higher will do like 12/20

I need help math plz help me ​

Answers

Answer:

1 ballon will be leftover.

Step-by-step explanation:

53 divided by 4 will be 13 and 13 times 4 is 52 sooo 53 minus 52 is 1 balloon left over. the sad lonely balloon...

What is a simplified expression term for -10f + -9f + 7

Answers

Answer:

-19f + 7

Step-by-step explanation:

group the fs

-19f + 7

is the simple expression

Brian has reduced his cholesterol level by 13% after his last check up. If his original level was 240, what is his approximate cholesterol level now?

Answers

Answer:

208.8

Step-by-step explanation:

240 times 0.87 is 208.8

Question 6
A machine is used to fill bags with a popular brand of trail mix. The machine is calibrated so the distribution of the weights of the bags of trail mix is normal,
with mean 240 grams and standard deviation 3 grams. Of the following, which is the least weight of a bag in the top 5 percent of the distribution?

Answers

Answer:

D. 246 grams

Step-by-step explanation:

invnorm(.95, 240, 3) is around 244 and the question is asking for the least weight of a bag in the top 95%, so the smallest number within

a. 234

b. 240

c. 243

d. 246

e. 248

is d.

The distribution of the mix follows inverse normal distribution

The least weight of a bag in the top 5% is 246 grams

The given parameters are:

[tex]\mathbf{\mu = 240}[/tex] ---- population mean

[tex]\mathbf{\sigma = 3}[/tex] ---- population standard deviation

To get the least weight of a bag in the top 5%, we make use of inverse normal distribution.

So, we have:

[tex]\mathbf{Least = invNorm(p,[\mu,\sigma])}[/tex]

Being in the top 5% means that:

p = 1 - 5%

p = 1 - 0.05

p = 0.95

So, we have:

[tex]\mathbf{Least = invNorm(0.95,240,3)}[/tex]

From the inverse normal calculator, we have

[tex]\mathbf{Least = 246}[/tex]

Hence, the least weight is 246 grams

Read more about inverse normal distributions at:

https://brainly.com/question/15798227

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