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Maksim231197 [3]
3 years ago
12

What is an equation of the line that is perpendicular to y= - 4/5x +3 and passes through the point (4,12)?

Mathematics
1 answer:
Dovator [93]3 years ago
4 0

Answer:

y = \frac{5}{4} x + 7

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 )

y = - \frac{4}{5} x + 3 is in this form

with m = - \frac{4}{5}

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

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{4}{5} } = \frac{5}{4}, hence

y = \frac{5}{4} x + c ← is the partial equation

To find c substitute (4, 12) into the partial equation

12 = 5 + c ⇒ c = 12 - 5 = 7

y = \frac{5}{4} x + 7 ← equation of perpendicular line

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antoniya [11.8K]

-5x=60

The first thing we want to do is to divide -5 on both sides. We do this because -5x, is the same as -5 times x and we want to do the inverse of that.

After we divide on both sides, we get    x=60/-5

We know that 60 divided by -5 is -12.

Therefore our answer is:      x=-12

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

5= n + 2

We always want to get the variable to be alone, so if we subtract by 5 we would be doing the opposite of getting the variable alone. Although, if we subtract by 2 on both sides, we would get the variable alone and the answer would be 3=n

Therefore our answer is:       False

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2(x-7)

By looking at this question, we see x being subtracted by 7. Then we see that 2 is being multiplied to that.

Therefore our answer is:        C

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The product of a number and 4 increased by 8

In these types of questions, it's smart to break it up. We will start with the product of a number and 4. We know that a number is a variable and if we look at the multiple choice answers we can see that the variable they chose to use is n. We also know that a product is when numbers get multiplied. So that means 4 and n get multiplied which turns into 4n.

For the other part of the problem, we know that increased by 8 means added my 8. Now that we got our answers, we put then together.


Therefore our answer is:       A    4n+8

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

Pls give a like if this helped you!!!

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Step-by-step explanation:

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Step-by-step explanation:

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