Answer:
A) increases
Step-by-step explanation:
5/x + 5
suppose x = 5; then 5/5 + 5 = 1 + 5 = 6
x = 2; then 5/2 + 5 = 2.5 + 5 = 7.5
x = 1 ;then 5/1 + 5 = 5 + 5 = 10
So when x value decreases from a large positive number to a small positive number, 5/x + 5 increases
Answer:
The image is not clear but get the idea
Let the length of unknown side be x
So, hypotenuse = 2x + 1
By pythagorean theorem ie , a² = b² + c²
(2x + 1)² = x² + 15²
4x² + 1 + 4x = x² + 225
3x² + 4x -224
(3x +28)(x-8)
x = -9.33 , 8
Since, length can't be negative
x = 8
∴Unknown side length = 8 m
Length of hypotenuse = 2 x 8 + 1 = 17 m
Hope it helps now.
The slope of any function is its first derivative.
If f(x)=x^2, then f'(x)= 2x .
At x=5, slope = f'(x) = 2(5) = <em>10</em> .