If f(x)=x^2-3|x|+5 and g(x)=x-4/4x then what is the value of f(-5)/g(5)

Step-by-step explanation:

hello :

f(x)=x²-3|x|+5 and g(x)=x-4/4x

f(-5)/g(5) =( (-5)²-3|-5|+5)/(5-4/4(5))

but : (-5)²=25  and |-5| = 5  and (-5-4/4(-5) = 1/20

f(-5)/g(5) = (25-15+5)/(1/20) = 15×20/1 =300

The correct answer is:

53.1°.

Explanation:

This forms a right triangle. The vertical leg of the right triangle is the depth of the pool, 8 ft. The horizontal leg of the triangle is the horizontal distance from her entry point, 6 ft.

The angle of elevation is the angle between the hypotenuse and the horizontal leg.

The sides we have are opposite this angle and adjacent to it; opposite/adjacent is the ratio for tangent.

Let x be the measure of the angle of elevation. We can set up the following equation:
tan x = 8/6.

To undo tangent, we use inverse tangent:
tan⁻¹(tan x) = tan⁻¹(8/6)
x = 53.1°