Answer:
Step-by-step explanation:
slope =
= -
→ A
The slope is negative as the ramp slopes down from left to right
Use point slope form or slope int to create an equation that meets the requirements

point slope form

slope int form
Since the given line

has slope

The equation of the line perpendicular to it must have a slope which is the negative reciprocal of ,

The slope of the perpendicular line

Using the slope intercept form,

We substitute

This implies that,

Since

lies on this line , it must satisfy its equation.
That is

This implies that



The line therefore has equation,
Hi!
The fully factored form of this equation is (3x+2)²
The value of cos(L) in the triangle is Five-thirteenths
<h3>What are right triangles?</h3>
Right triangles are triangles whose one of its angle has a measure of 90 degrees
<h3>How to determine the value of cos(L)?</h3>
The value of a cosine function is calculated as:
cos(L) = Adjacent/Hypotenuse
The hypotenuse is calculated as
Hypotenuse^2 = Opposite^2 + Adjacent^2
So, we have:
Hypotenuse^2 = 12^2 + 5^2
Evaluate
Hypotenuse^2 = 169
Take the square root of both sides
Hypotenuse = 13
So, we have
Adjacent = 5
Hypotenuse = 13
Recall that
cos(L) = Adjacent/Hypotenuse
This gives
cos(L) = 5/13
Hence, the value of cos(L) in the triangle is Five-thirteenths
Read more about right triangles at:
brainly.com/question/2437195
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