What is an equation of the line that passes through the point (-4,3) and is
perpendicular to the line 4x - 5y = 20?

Answers

Answer 1

Answer:

5x + 4y = - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Given

4x - 5y = 20 ( subtract 4x from both sides )

- 5y = - 4x + 20 ( divide all terms by - 5 )

y = [tex]\frac{4}{5}[/tex] x - 4 ← in slope- intercept form

with slope m = [tex]\frac{4}{5}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex] , thus

y = - [tex]\frac{5}{4}[/tex] x + c ← is the partial equation

To find c substitute (- 4, 3) into the partial equation

3 = 5 + c ⇒ c = 3 - 5 = - 2

y = - [tex]\frac{5}{4}[/tex] x - 2 ← in slope- intercept form

Multiply through by 4

4y = - 5x - 8 ( add 5x to both sides )

5x + 4y = - 8 ← equation in standard form


Related Questions

Which proportion is not true

Answers

is not true or is true

PLEASE HELP I'LL GIVE BRAINLIEST

Answers

The point that is marked on the number line is  - 0.875.

How to read a number line?

According to the number line diagram, the right side after zero is the positive side while the left side before zero is the negative side.

The marked point is before zero, therefore, the marked point on the number line is surely a negative number.

Each step in the number line represents a step of 0.125.

Hence, the marked point represents 7 steps from zero, therefore, the marked point is  -0.875.

learn more on number line here: https://brainly.com/question/13189025

Question in the photo.

Answers

Answer:

its not proportional because the graph is not a straight line

What are the values of x for which the denominator is equal to zero for y = x+3/x²+4x
x² + 4x

X = -4


x=0, x=-4

no points of discontinuity

x = 0,X = 4

Answers

Answer:

hello

x² + 4 x = 0

x ( x + 2  ) = 0

x = 0  or   - 2

Write an equation in slope intercept form of the line that passes through the points (-5,4) and (5,0)

Answers

Answer: y=-0.4x+2

Step-by-step explanation:

Can someone help me Plzzzzz!

Answers

Answer:

Which one is it though?

Step-by-step explanation:

Help Please ASAP
Rose bought a length of copper pipe. She used ½.yard to repair a water line in her house. How much pipe does she have left? Solve this problem any way you choose.

Answers

Answer:

I need to know the total length of the pipe but she has 1/2 yard of pipe left. Whatever the total pipe length is, just divide that by 2 to get your answer.

Which property is demonstrated? (7 × 25) × 9 = 7 × (25 × 9)

Answers

Answer:

Associativity.

Step-by-step explanation:

150°, 130°, 130°, 150°, 140°, 140°, 150°, 130°, and d. What is d?

Answers

Answer:

130

Step-by-step explanation:

This most likely goes in a pattern

150

130

130

150

140

140

150

130

d (130)

e (150)

Answer:

130 degrees

Step-by-step explanation:

It's a pattern so first is 150 the 130 2x and then 150 again and now 140 2x. Starts over 150 again and 130 2x

please help me this my e -learning work

Answers

Answer:

1. [tex]=11x+9[/tex]

2. [tex]=7a+17[/tex]

3. [tex]=14k+10[/tex]

4. [tex]=3r+19[/tex]

5. [tex]=8w+19[/tex]

6. [tex]=\frac{19}{2}p+16[/tex]

7. [tex]=8x+18y[/tex]

8. [tex]=11m+7n+14[/tex]

9. ???

10. [tex]=\frac{4p+5q}{6}+\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]4x+9+7x[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=4x+7x+9[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:4x+7x=11x[/tex]

[tex]=11x+9[/tex]

[tex]7a+1+16[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:1+16=17[/tex]

[tex]=7a+17[/tex]

[tex]9+6k+8k+1[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=6k+8k+9+1[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:9+1=10[/tex]

[tex]=6k+8k+10[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:6k+8k=14k[/tex]

[tex]=14k+10[/tex]

[tex]r+14+5+2r[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:14+5=19[/tex]

[tex]=r+19+2r[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=r+2r+19[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:r+2r=3r[/tex]

[tex]=3r+19[/tex]

[tex]6+7w+w+13[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=7w+w+6+13[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:6+13=19[/tex]

[tex]=7w+w+19[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:7w+w=8w[/tex]

[tex]=8w+19[/tex]

[tex]\frac{1}{2}p+14+2+9p[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:14+2=16[/tex]

[tex]=\frac{1}{2}p+16+9p[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=9p+\frac{1}{2}p+16[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}p[/tex]

[tex]=p\left(9+\frac{1}{2}\right)+16[/tex]

[tex]=p\frac{19}{2}+16[/tex]

[tex]=\frac{19}{2}p+16[/tex]

[tex]8x+3y+15y[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:3y+15y=18y[/tex]

[tex]=8x+18y[/tex]

[tex]3m+7n+14+8m[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=3m+8m+7n+14[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:3m+8m=11m[/tex]

[tex]=11m+7n+14[/tex]

Cant see the next one the number before w

[tex]\frac{2}{3}p+\frac{5}{6}q+\frac{1}{4}[/tex]

[tex]=\frac{2p}{3}+\frac{5q}{6}+\frac{1}{4}[/tex]

[tex]=\frac{4p+5q}{6}+\frac{1}{4}[/tex]

y = 4x^3– 20x^2+ 25x

Answers

Answer:

0 2/5 By zeros

Step-by-step explanation:

Waheed's father is twelve years older than his mother. The sum of their ages is 76 years old. How old is Weheed's father​

Answers

Answer:

32

Step-by-step explanation:

Let, the age of father and mother be x and y respectively. then,

According to question,

x + y = 76.........(i)

x= y + 12...............(ii)

Now,

x + y = 76

or, ( y + 12) + y = 76

or, y + 12 + y = 76

or, 2y = 76 – 12

or, 2y = 64

or, y = 64/2

.

. . y = 32

hope it will help you.

The solutions to 15(2a – 2) = 5(a2 – 1) are: a = 1, a = –1 a = 5, a = –1 a = 5, a = 1

Answers

The solution to the provided expression using the difference of square formula of algebra is a=1.

What is the difference of squares formula?

The difference of square says, the difference of the square of two terms is equal to the product of their sum and difference. It can be given as,

a^2-b^2=(a+b)(a-b)

The given expression in the problem is,

[tex]15(2a - 2) = 5(a^2 -1)[/tex]

From the property of difference of square, the above equation can be written as,

[tex]15(2a - 2) = 5[(a +1)(a-1)]\\15\times[2(a - 1)] = 5[(a +1)(a-1)][/tex]

Divide both side of the equation with (a-1) as,

[tex]5\times2 = 5(a +1)[/tex]

Divide both side of the equation with number 5 as,

[tex]2 = (a +1)\\a=2-1\\a=1[/tex]

Hence, the solution to the provided expression using the difference of square method of algebra is a=1.

Learn more about the difference of square here;

https://brainly.com/question/1148545

The solutions to 15(2a – 2) = 5(a2 – 1) are:

a = 1, a = –1

a = 5, a = –1

a = 5, a = 1

Answer:

C. a = 5, a = 1

Step-by-step explanation:

Please help will give BRAINLIEST

Answers

Answer:

im not sure but i think its b reconsider and look for other answers

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

If m and n are parallel, then

∠ CBA = ∠ 2 ( alternate angles )

The sum of the 3 angles in a triangle = 180°, thus

∠ 1 + ∠ 2 + ∠ 3 = 180° ( sum of the angles in the triangle )

At the end of april, mandy told bill that she has read 16 books this year and reads 2 books each month. Bill wants to catch up to mandy. He tracks his book reading with a table on his door. Using his table below, what month will bill have read the same amount of books as mandy?.

Answers

Answer:

where is table

Step-by-step explanation:

Show an example of a multi-step equation with a no solution answer.​

Answers

5(y+3)= 5y + 3 ——> 5y+15=5y+3

I need help

Evaluate the function.
f(x)=2x^2+x-4
f(x)=2x
2
+x−4
Find f(−10)

Answers

Answer:

f(-10) = 2(-10)^2 +(-10)-4 = 386

Step-by-step explanation:

(2 * -10)^2 equals -20^2= 400

+(-10)-4= -10-4=-14

400-14=386

Amelia needs to buy some dog food.At the nearest store,6 bags of dog food cost $34.50. How much would Amelia would spend on 5 bags of dog food

Answers

Answer: The answer would be $28.75

Step-by-step explanation: You would first wanna see how much one bag of dog food costs by dividing 34.50 by 6. Then you can muiltiply how much one bag of dog food costs by 5 to see how much Amelia would spend.

Tjfnfkgfjgngkgnbgkjhbhhhh

Answers

Hi how are you I’m the cutie man

The first three terms of a geometric sequence are as follows.
-2,10 ,-50

Find the next two terms of this sequence.
Give exact values (not decimal approximations).

Answers

Answer:

Can you rephrase the question so I can get a better explanation of what you're trying to ax me

an estimate of 3 out of 25 people are left handed

Answers

Then that means the other 22 are right handed

Read the sentence and study the table. Jaren and Shardae found that cooking a four-course dinner was a laborious process. A 2-column table with 1 row. The first column is labeled Suffix with the entry -ious. The second column is labeled Meaning with the entry having qualities of; full of. Based on the definition of the suffix, what does the underlined word mean? relatively easy not challenging requiring effort deeply satisfying.

Answers

Laborious in this sentence means a task that requires a lot of effort.

What will be the suffix?

Suffix is a kind of affix which is placed after the stem of the word in the word. This explains about the grammatical case of nouns and adjectives.

The word that has been used in the sentence which describes about the activity of the sentence is laborious.

The activity speaks about that this task which is of making a four course dinner is not going to be easy and requires a lot of efforts in it.

Thus Laborious in this sentence means a task that requires a lot of effort.

To know more about suffixes follow

https://brainly.com/question/26231721

c

Step-by-step explanation:

A school bus can safely carry as many as 76 students. If 19 students are already on the
bus, how many more can board the bus?

Answers

Answer:

57 students can still board

Step-by-step explanation:

If it carries 76 students total and 19 are already on, we must find the difference

This means we subtract

76 - 19 = 57

57 students can board the bus

Which expression is equivalent to 7x + 9 - 2x?
Answer choices 14x, 18x, 5x + 9 or 9x + 9

Answers

Answer:

5x+8 because 7x-2x=5x and you cant do anything with the 9 so it just stays as a hang on at the end.

Step-by-step explanation:

Answer:

7x + 9 - 2x

We need to combine like terms (meaning terms that have the same power and variables);

(7x - 2x) + (9)

5x + 9

6) Heather won 45 lollipops playing the bean
bag toss at her school's game night. Later,
she gave three to each of her friends. She
only has 3 remaining. How many friends
does she have?

Answers

Answer:

14

Step-by-step explanation:

45/3=15

She has 3 left so that means she has 14 friends

14 friends: 14 • 3 = 42 42+3=45

All right triangles have a right angle. The other 2 angles of a particular right triangle are 65 and x+29. What is the value of x

Answers

The value of x is 739

Zane is determining whether the given value of the variable is a solution of the equation.

13 + h = 21 for h = 9

What steps should Zane take? Check all that apply.
Substitute 9 for the variable h.
Substitute 21 for the variable h.
Simplify by adding 13 and 21.
Simplify by adding 13 and 9.
21 = 21, so 9 is a solution to the equation.
22 Not-equals 21, so 9 is not a solution to the equation.

Answers

Answer:

Substitute 9 for the variable h.Simplify by adding 13 and 9.22 Not-equals 21, so 9 is not a solution to the equation.

Step-by-step explanation:

13 + h = 21 for h = 9

1. Substitute 9 for the variable h.

Correct, because the question already giving the value that h = 9.

2. Substitute 21 for the variable h.

False, because in the question it states that h is 9, not 21.

3. Simplify by adding 13 and 21.

False, because they are in different sides.

4. Simplify by adding 13 and 9.

True, the question giving that h is 9. In the left sides, it's 13 + h, by adding 13 and 9, we will get the answer for the left side.

5. 21 = 21, so 9 is a solution to the equation.

False, because in the left side is 13 + h = 13 + 9 = 22.

6. 22 Not-equals 21, so 9 is not a solution to the equation.

True, see the explanation in 5.

Answer:

Substitute 9 for the variable h.

Simplify by adding 13 and 9.

22 Not-equals 21, so 9 is not a solution to the equation.

Step-by-step explanation:

the guy above me ∧ is correct!

4.16667 As a mixed number

Answers

Answer:

416667 / 100000

Step-by-step explanation:

maths is too ez

Answer:

Step-by-step explanation:

4 16667/100000

i think of a number multiply it by 3 and add 4 i get 22
use the statement above ,to form an equation.
a)use the letter x for the uknown number
b) solve the equation

Answers

Answer:

x = 6

Step-by-step explanation:

i think of a number multiply it by 3 and add 4 i get 22.

x = a number

x is being multiplied by 3 (3*x or 3x), thening add 4 is equal to 22.

3x + 4 = 22

    - 4    - 4

3x = 18

/3      /3

x = 6

Therefore, the unknown number is 6.

Hope this helps!

Solve 9 × 5/8
I'm gonna give you all my points : )

Answers

Answer:

See below.

Step-by-step explanation:

9*5/8

Order of operations state that division has to be done before multiplication.

5/8=0.625

9*0.625=5.625, or 5.6

-hope it helps

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