Write an equation of the line that passes through (-4, 2) and is perpendicular to the line y=2/7x-8

Answers

Answer 1

The equation of the perpendicular line is y = -7/2(x + 5) + 2

How to determine the perpendicular line equation?

From the question, we have the following parameters that can be used in our computation:

y=2/7x-8

Also, from the question;

We have the following points

Point = (-4, 2) i.e.  (x, y) = (-4, 2)

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = 2/7

This means that the slope is 2/7

The slopes of perpendicular lines are opposite reciprocals

This means that the slope of the other line is -7/2

The equation of the line is then calculated as

y = m(x - x₁) +y₁

Where

m = -7/2

(x₁, y₁) = (-4, 2)

So, we have

y = -7/2(x + 5) + 2

Hence, the line has an equation of y = -7/2(x + 5) + 2

Read more about linear equations at

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Related Questions

Find the sum by first finding the equivalent fractions so both of the fractions have common
denominators.

Answers

Answer:

3x3/8x2 = 9/16

9/16+7/16 = 16/16

               =1

help me pls kinda stuck lol

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

To find the x- intercepts , let y = 0 , that is

6x - x² = 0 ← factor out x from each term

x(6 - x) = 0

Equate each factor to zero and solve for x

x = 0

6 - x = 0 ⇒ x = 6

Coordinates of P (6, 0 )

(b)

The axis of symmetry is a vertical line, positioned at the midpoint of the zeros

x = [tex]\frac{0+6}{2}[/tex] = [tex]\frac{6}{2}[/tex] = 3

Equation of axis of symmetry is x = 3

(c)

Given a parabola in standard form y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = 6x - x² = - x² + 6x ← is in standard form

with a = - 1, b = 6 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{6}{-2}[/tex] = 3

Substitute x = 3 into y = 6x - x² for y- coordinate

y = 6(3) - 3² = 18 - 9 = 9

coordinates of maximum point = (3, 9 )

-10x+y=-22 -8x+y=-18 solve by elimination

Answers

Answer:

x=2, y= -2

Step-by-step explanation:

Answer:

-10x+y=-22---------equation 1

-8x+y=-18----------equation 2

subtract eqn 1 and 2

-10x+y=-22

-8x+y=-18

(+) (-) (+)

__________

-2x=-4

or, x=2

put the value of x in equation 1 we get

-10×2+y=-22

y=-22+20

or, y = -2

therefore x=2 and y=-2 ans.

find the value of x

Answers

Answer:

Is that 12

12+x+3

x = 12-3

x = 9

if a function f(x)=x^3 has the domain {-3,0,2,4} what is it's range

Answers

27, 0, 8, 64
All u need to do is cube all the numbers in the domain

Step-by-step explanation:

Range is y-values

= {-27,0,8,64}

Danielle makes $5,000 per week as a surgeon. Soon she will receive a 15% raise. How much money will she make per week after this raise? $750 54.250 55.150 55.750 $7,500​

Answers

Answer:

50000

Step-by-step explanation:

Answer:

$50,000 would be the answer

Step-by-step explanation:

2.
2.3*-1-3*
3*- 3x-1​

Answers

Answer:

i got 27x-3.3 by simplifying  

Step-by-step explanation:

ayrıntılı bir şekilde çözümü yazarmısınız ​

Answers

Answer:

asi ñao lub ni huliao

Step-by-step explanation:

Which of the following ordered pairs represents a reflection across the y-axis?
A
A (1, 5) to A' (1, -5)
B
A (-4, -5) to A' (4, -5)
C
A (2, 4) to A' (-2, -4)
D
A (-3, 3) to A' (-3, -3)

Answers

Answer:

letter D a(-3,3) to a'(-3,-3)

i hope it can help

Answer:

A

Step-by-step explanation:

it is because of the inverse is across y-axis.

but I feel that should be the answer.

In ΔIJK, i = 74 inches, j = 23 inches and ∠K=20°. Find the area of ΔIJK, to the nearest square inch.

Answers

Answer:

291in^2

Step-by-step explanation:

Using the formula

Area of the triangle = 1/2absin theta

A = 1/2ijsin<K

Given

i = 74in

j = 23in

<K = 20 degrees

Area = 1/2 * 74*23sin20

Area = 37*23sin20

Area = 852sin20

Area = 291.059in^2

Hence the area of the triangle to nearest square inch is 291in^2

Help with math angles please

Answers

Answer:

1. 70

2. 22

3. 56

4. 16

5. 38

6. 15

7. 260

8. 7

Evaluate the expression. 6(3+5)/4

Answers

Answer:

12

Step-by-step explanation:

6(3+5)/4 add number inside parentheses

6(8)/4 multiply 6 and 8

48/4 divide

12

Hope this helped you!

How many square feet of outdoor carpet will we need

Answers

8 square feet will be needed. 3x2= 6 + 2x1= 2= 8 square feet

A motorcyclist traveled at a rate of 60 miles per hour for 3 hours, then took a break for lunch for 45 minutes. She then traveled for another amount of time at 60 miles per hour before reaching her destination. If she traveled a total of 270 miles, and left at 9:30 a.m., at what time did she arrive at her destination?

Please help:( need this ASP

Answers

Answer:

2:45 p.m.

Step-by-step explanation:

60 miles per hour for 3 hours

time: 12:30

miles driven: 180

45 minutes for lunch

time: 1:15

miles driven: 180

60 miles an hour till she hits 270

270-180=90

90 miles = 1.5 hours of driving

1.5 hours plus 1:15 = 2:45

find the binomial which is a common factor of:-
plz ans it fast...

Answers

Step-by-step explanation:

step 1. why are you in a hurry?

step 2. a binomial that is a common factor of 121 - 25x^2 and 25x^2 + 55x + 121.

step 3. the factors. of 121 - 25x^2 are (11 - 5x)(11 + 5x).

step 4. the factors of 25x^2 + 55x + 121 are (5x + 11)(5x + 11).

step 5. the common factor is 5x + 11.

please help.......................

Answers

Answer:

FD = 8

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{FD}{BA}[/tex] = [tex]\frac{FE}{BC}[/tex] , substitute values

[tex]\frac{x+3}{2x+2}[/tex] = [tex]\frac{16}{24}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

2(2x + 2) = 3(x + 3) ← distribute parenthesis on both sides

4x + 4 = 3x + 9 ( subtract 3x from both sides )

x + 4 = 9 ( subtract 4 from both sides )

x = 5

Thus

FD = x + 3 = 5 + 3 = 8

I need to write a word problem for this equation and I don't know how to get started. Help!!!! N + (n + 8) + 2n = 364

Answers

Answer:

n = 89

Step-by-step explanation:

Ok so,

n + (n+8) + 2n =364

n+n+8+2n = 364

4n + 8 = 364

4n = 356

n = 89

I checked it...its right

if you have any questions please ask me

hope this helps. have a good day :)!!

Which situations can be represented by an exponential function?

Select each correct answer.




Every year, the number of online video subscriptions increases by 3 times what is was the previous year.

In a structure made of bricks, each row has 10 more bricks than the previous row.

The value of a vehicle decreases by 11% each year.

A dentist's office accepts 15 new patients each month.

Answers

9514 1404 393

Answer:

  (a) subscriptions

  (c) vehicle value

Step-by-step explanation:

Exponential functions are used to describe situations where the amount of change is proportional to the amount.

If the amount of change is a constant, then the function is linear.

A. video subscribers change by an amount proportional to their number, so is an exponential function.

B. the change in number of bricks in a row is a constant, so the function is a linear function.

C. The amount of change is proportional to the value, so the function is an exponential function.

D. The change in patient count is a constant, so the function is a linear function.

-6 x (-8) =
What is this answer I am stuck on it?

Answers

Answer:

It is 48

Step-by-step explanation:

Since the negative signs cancel out it is positive and 6 times 8 is 48.

HOPE THIS HELPS!

This is the answer x=48

What is the area of the composite figure? 65 cm2
40 cm2
52.5 cm2
60 cm2​

Answers

I think the answer is c 52.5

Area of the composite figure will be 52.5 cm².

Area of the composite figure,Divide the figure into small parts of different shapes.Add the areas of the divided figures.

Given composite figure is divided into two parts (1) triangle ABC (2) Rectangle DEFG

Area of ΔABC = [tex]\frac{1}{2}(AB)(BC)[/tex]

                        = [tex]\frac{1}{2}(5)[8-(1+2)][/tex]

                        = [tex]\frac{1}{2}(5)(5)[/tex]

                        = 12.5 cm²

Area of rectangle DEFG = Length × Width

                                        = 8 × 5

                                        = 40 cm²

Area of the composite figure = Area of triangle ABC + Area of DEFG

                                                = 12.5 + 40

                                                = 52.5 cm²

       Therefore, area of the composite figure will be 52.5 cm².

Learn more about the area of the composite figure,

https://brainly.com/question/12241989?referrer=searchResults

help plz i’ll give extra points

Answers

Answer:

A

Step-by-step explanation:

Find the slope and initial value of the graph below. Then write the equation of the line. Write the equation of the line.

Answers

Answer:

y= x + 2

Hope this helps.

9. A boy rides away from home in an automobile at the rate of 28 miles an hour and walks back at the rate of 4 miles an hour. The round trip requires 2 honrs. How far does he ride?​

Answers

Answer:

9. A loebskesşbxksjlejs

Concept Check: Sketch each angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle. Give the quadrant of each angle, if applicable.

75°

174°

300°

-61°

-90°

Answers

Step-by-step explanation:

...............

......

In which quadrant is point G located?
III

I

II

IV

Answers

Quadrant II.

Top right is 1.
Top left is 2.
Bottom left is 3.
Bottom right is 4.
Coordinate G is located in quadrant ll aka quadrant 2

regalo puntos sigeme y listo​

Answers

Answer:

gracias por los puntos

Step-by-step explanation:

puntos.com

Answer:

No pos culluiwjwiwjkwjw

ï will give the brainlist

Answers

Answer:

x = 28°

Step-by-step explanation:

3x - 21° = 63°3x = 63°+ 21°3x = 84°x = 28°

MARK ME AS BRAINLIST

Answer: X=28

Step-by-step explanation:

(3x-21) = 63

3(28)-21 = 63

3(28) = 84

84 - 21 = 63

63 = 63

1.125+1 2/3-2 5/6×(-8/27)=​

Answers

3.63117283951
I think


Which graph represents a proportional relationship?
A) A
B) B
C) C
D) D

Answers

Answer:

Step-by-step explanation:

I think it’s B

Answer:

its b

Step-by-step explanation:

took the test on usa test prep

gradient of line 6x+2y+9=0​

Answers

Answer:

gradient = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c( m is the slope (gradient) and c the y- intercept )

Given

6x + 2y + 9 = 0 ( subtract 6x + 9 from both sides )

2y = - 6x - 9 ( divide the 3 terms by 2 )

y = - 3x - [tex]\frac{9}{2}[/tex] ← in slope- intercept form

with gradient m = - 3

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