A swimmer takes a running jump off a pier. The path of the swimmer can be modeled by the equation h=-0.1d^2+0.1d+3, where h is the height (in feet) and d is the horizontal distance (in feet). How far from the pier does the swimmer enter the water?

6 feet from the pier

Step-by-step explanation:

The path of the swimmer can be modeled by the equation

where h is the height (in feet) and d is the horizontal distance (in feet).

Find d, when h is equal to 0 (when the swimmer enters the water):

The distance cannot be negative, so

feet

2 and 1.

step-by-step explanation:

plug in each answer. 0 doesn't work, 1 does. so does 2. 4 doesn't:

0 = 1 is not true.

2 = 2 is true.

4 = 4 is true.

8 = 16 is not true.

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