What is the equation of the line that is perpendicular to y = one-fifth x + 4 and that passes through (5,–4)?

Answers

Answer 1

Answer:

y= -5x + 21

Step-by-step explanation:

The equation of the line that passes through (5, -4)  and is perpendicular to line y = 1/5x + 4  is y= -5x + 21

The slope that is perpendicular to the slope 1/5x is -5x.

To find a perpendicular slope, you take the negative reciprocal. (so you change the signs (1/5x is positive so now it would be negative) and -5/1 is basically -5)

However, y = -5x + 4 does NOT pass through (5, -4)

But we still have to write the equation in slope intercept form or the equation of the line

The formula for slope- intercept form is : y= mx + b

So we must plug in (m) which is our -5x and for y we look at the coordinates they gave us ----- (5, -4). -4 is our y. In the coordinates we also have x listed which is 5, so we all plug that in.

y = -5x + b (as you can see -5x is plugged in here)

-4 = -5x + b (as you can see -4 is plugged in here)

4 = -5(5) + b (as you can see 5 is plugged in here)

NOW WE MUST SOLVE!

Isolate B

-4 = -25 + b

Add 25 from both sides.

-4 = -25 + b

+25 25

----------------

21 = b

We can now plug this into our slope intercept formula---y= mx+ b---to find the equation of the line.

Therefore, y = -5 x +21


Related Questions


[tex] {x}^{2} + 3xy + 2 {x}^{2} - xy [/tex]
Collect the terms.​

Answers

Answer:

3x² + 2xy

Step-by-step explanation:

x² + 3xy + 2x² - xy

3x² + 2xy

What is the approximate length of a diagonal of a square with a perimeter of 48 inches?

Answers

Answer:

diagonal length = 12√2 inches

Step-by-step explanation:

If the perimeter of the square is 48 inches, the length of one side is one fourth of that, or 12 inches.  The diagonal creates a 45-45-90 triangle with two 12-in legs; we are to find the length of the diagonal.  Using the Pythagorean Theorem, we get

12² + 12² = (diagonal length)², or 2(12²) =  (diagonal length)²

Taking the square root of both sides, we get:

diagonal length = 12√2 inches

Solve for x
5x + 1
x +5
35

Answers

Answer:

hopefully this is what you meant :/

5x+1x+5=35

x=5

Step-by-step explanation:

select all the statements that are true for any value of x​

Answers

Answer:

A, C, E, F

Explanation:

equal on both sides

d - 4.2 = -7.6

(FIND D)

help pls (inverse operation)

Answers

Answer:

d=-3.4

Step-by-step explanation:

d-4.2=-7.6

d=-7.6+4.2

d=-3.4

Answer:

Seems like it'll be 11.8

Step-by-step explanation: Since the answer is 7.6 I just thought what subtract 4 equal 11 and 7 came to mind which gives me the 11. then 2-8=6

that's how i got 11.8 or an simple way of doing it is adding 4.2 + 7.6 and you'l; still get 11.8


Which statement allows us to conclude that line m and line n are parallel?

Answers

Answer:

here the answer should be <2= <7 but it look like it not there but the and <2= <6 is correct so (A) is the answer

Step-by-step explanation:

complete the table below to identify the pattern. Find the maximum

Answers

Answer:

[tex]y = 200 + 45x \\ so \: when \: x = - 3 \\ y = 65.......... \\ at \: x = 1 \\ y = 245 \\at \: x = 2 \\ y = 290 \\at \: x = 3 \\ y = 335[/tex]

2^2018+2^2019-2^2020/2^2020-2^2021-2^2022​

Answers

Undefined. Which means no answer.

Answer:NaN

Step-by-step explanation:

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giving the following NaN.

Substitution method
x=2y
2x+5y=4

Answers

Answer:

y=4/9

Step-by-step explanation:

Substitute 2y into the x

2(2y)+5y=4

4y+5y=4

9y=4

y=4/9

9
1
4
10
-1
10
Answer with a mixed number in simplest form.

Answers

-1 hope this helps :)

Find the measure of the indicated arc

Answers

Step-by-step explanation:

We know that if an arc subtends an angle of theta , with a radius r , then the measure of arc is theta . Here theta is 109° .

[tex]\implies l = r\theta \\\\\implies l = r\times 109^{\circ}\\\\\implies l = r \times \dfrac{109}{180}\pi rad \\\\\implies \boxed{\boxed{ l = 0.6\pi r m }}[/tex]

where r will be the radius .

-1/4a - 4 =4
what does a =

Answers

Answer:

a = -32

Step-by-step explanation:

-1/4a - 4 =4

Add 4 to each side

-1/4a - 4+4 =4+4

-1/4a = 8

Multiply each side by -4 to isolate a

-1/4 a * -4 = 8 *-4

a = -32

Need some help please

Answers

vjsdvnruivneruijnbver

Sharif drove 295 miles from St. Louis to Detroit at an
average speed of 65 mph. Which equation can be
used to find the time of the trip (x) in hours?

Answers

You did not provide a list of equations for us to select from.

Let me see if I can put together.

Distance = rate times time (in hours).

Let x = time of the trip in hours.

D = rx

Let D = 295 miles.

Let r = 65 mph.

Here is your equation: 295 = 65x

HELPPPPPPP PLZZZZZZZ

Answers

Answer:

lets pray

Step-by-step explanation:

...

Can someone help me only answer if you know it no scam links or your getting reported.

Answers

Answer:

3

Step-by-step explanation:

1. Find the area of the green block

Area = L x W x H

1/3 *1*1 = 1/3

2. Find the area of the blue block

1*1*1 =1

3.) Divide the blue area by the green area  

1 ÷ [tex]\frac{1}{3}[/tex] = 3

Check : 1/3 + 1/3 + 1/3 = 3/3 3/3 = 1

3 green blocks can fit into 1 blue block

If you vertically compress the absolute value parent function, f(x) = [X1, by a
factor of 5, what is the equation of the new function?
O A g(x) = [x - 51
B. g(x) = 1x1
C. g(x) = 5|X1
D. g(x) = (5x1

Answers

Answer:

your answer should be C.

Step-by-step explanation:

brainliest?

The transformation of the parent function f ( x ) = | x | by a compression of 5 units is given by g ( x ) = ( 1/5 ) | x |

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = | x |   be equation (1)

On simplifying , we get

when the function is stretched vertically by a factor , we get

Vertical stretch by a factor k: y = k × f(x)

And , when it is compressed by a factor of k = 5 units

The transformed function is g ( x ) = ( 1/5 ) | x |

Hence , the transformed function is g ( x ) = ( 1/5 ) | x |

To learn more about transformation of function click :

https://brainly.com/question/26896273

#SPJ7

no files or links give me a real answer please

Answers

Answer:

I think D.

Since it is mystery it would be a surprise, which could be any mix of something.

Step-by-step explanation:

Pls help meeeee and thank you so much

Answers

Answer:

18

Step-by-step explanation:

Hope this helps!

Answer:

18

Step-by-step explanation:

[tex]\frac{15-9}{3}*(19-10) = \frac{6}{3} * 9 = 2* 9 = 18[/tex]

What is the area of this...

Answers

the area of the following shape is 50

please help me lol (quadratics unit on khan)

Answers

Answer:

(2-x)^2 sorry if that’s wrong

Step-by-step explanation:

sorry

Dante and Tania are both math tutors. The amount Dante charges for a session h hours long is represented by the function (h) =
40h + 10. Tania charges a flat fee of $30 plus $15 an hour.
Which statement about the functions is true?

Answers

Answer:

D

Step-by-step explanation:

Guys can you please help me and find what x is because lm confused

Answers

Answer:

a. is x=15

b. is x=17

Step-by-step explanation:

i hope this helps u

What is the relationship between the two angles and the
measure of the missing angle?
b
39°

Answers

Answer:

When 2 angles are put together, they must have a total of 180 degrees.

Step-by-step explanation:

180-39=141

The measure of the missing angle is 141 degrees.

please help!! I'm super confused

Answers

Answer:

[tex] \frac{x}{3} \times 3 = 11 \times 3[/tex]

Step-by-step explanation:

Further Steps

[tex]x = 33[/tex]

PLS ANSWER ASAP, NO LINKS OR I WILL REPORT U

Answers

Answer:

B.

Step-by-step explanation:

Pls help me this is URGENT I will give brainleiest!!!

Answers

The answer is 8 units just did it

the mean of 5 number is 11 the numbers are in ratio1:2:3:4:5 find the smallest number​

Answers

Answer:

3 2/3

Step-by-step explanation:

If the mean is 11 and there are 5 numbers then their sum is 5 × 11 = 55 We have the ratio of parts being a : b : c : d : e → 1 : 2 : 3 : 4 : 5 so the total count of parts is 1 + 2 + 3 + 4 + 5 = 15. a-1/15x55=55 divided by 5/ 15 divided by 5=11/3=3 2/3

Circle O shown below has an arc of length 4 inches subtended by an angle of 0.6 radians. Find the length of the radius, x, to the nearest tenth of an inch.
help correct answer only pls​

Answers

Answer: 6.7

Step-by-step explanation:

Which equation is the inverse of y = 100 - x??
y=/100-X
y = 10+ x
ay = 100+ /
y=+*X-100

Answers

I think it’s the second option
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