Leroy shoots a basketball through the air in an attempt to score two points.

The height h of the ball in feet as a function of the distance d in feet that the

ball travels horizontally is given by h = −d^2 + 10d + 5. How far horizontally

from Leroy will the ball land on the ground if it does not hit the backboard or

the rim of the basket?

10.47 feet.

Step-by-step explanation:

The height, h of Leroy's ball is given by the function:

If the ball does not hit the backboard or  the rim of the basket but lands on the ground, then at that point, its height h(d)=0

Therefore:

We solve the above for the values of d.

a=-1, b=10, c=5

Using quadratic formula:

Therefore, the horizontal distance of the ball from Leroy is 10.47 feet.

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