Let missing side be x
Using basic proportionality theorem





Since the hiker can move in any direction, the equation that represent the area in which the hiker could be will be the equation of circle with radius r=12 and center (5,10)
The equation of a circle with radius r and center (h,k) is:

The only thing we have left is replace the values to get:

Answer: (f-g)(x) is equivalent to f(x) - g(x)
So that would be (2x²-5) - (x²-4x-8) = 2x² - x² + 4x + 8 - 5 = x² + 4x + 3
Hope this helps.
To find G of F first solve f(x) by replacing x with -7
F(x) = x^2 +6
= -7^2 +6
= 49 +6 = 55
So f(x) = 55
Now replace the X in the g(x) equation with 55
g(x) = x+8 / x
= 55+8 / 55
= 63/55
The last choice is the correct answer.