The output y is 
Explanation:
The expression is 
We need to determine the output y, when the value of input is x is 5.
That is, substituting
in
, we get,

Multiplying the value within the bracket, we have,

Subtracting the terms, we get,

Thus, the value of output y is 
Frankie's yard is a rectangle with the longer side = 32ft and the shorter side = 20ft. You want to find the length of the diagonal going through the rectangle. In essence, you basically have a triangle with two sides, one 32ft, the other 20ft, and you're looking for the hypotenuse.
Let's call a=32, b=20, and you're looking for the hypotenuse c. Use the Pythagorean theorem:

Plug the numbers in to find c, the length of your path! So
we know that
If line b is perpendicular to line a, and line c is perpendicular to line a,
then
line b and line c are parallel
and two lines parallel have the same slope
so
<u>Find the slope of the line b</u>
Let

The formula to calculate the slope between two points is equal to


substitute



therefore
<u>the answer is</u>
<u>the slope of the line c is</u>

Answer:
The height of the statue is 21.4 feet
Step-by-step explanation:
We are given
A person is standing 50 ft from a statue
The person looks up at an angle of elevation of 16 degree when staring at the top of the statue
hen the person looks down at an angle of depression of 8 degree when staring at the base of the statue
Firstly, we will draw diagram
In triangle ABF:
FC=50
we can use trig formula



now, we can find x
In triangle DEF:
we can use trig formula



we can see that
height of statue =x+y
so, the height of statue is


<span>sin(angle)=<span><span>opposite leg/</span><span>hypotenuse</span></span></span>
<span><span><span>
</span></span></span>
<span><span><span> sin(20) = 10/ hypotenuse</span></span></span>
<span><span><span>hypotenuse = 10/sin(20) = 29.238 ( round off as necessary)</span></span></span>
<span><span><span>
</span></span></span>