Asoccer ball is kicked in the air off a 22.0 meter high hill. the equation h(t)=-5t^2+10t+22 gives the approximated height h, in meters, of the ball t seconds after it is kicked. what equation can be used to tell if the ball reaches a height of 35 meters? does the ball reach a height of 35 meters? how can you tell?

equation:

Equation: 5t² − 10t + 13 = 0

No

Step-by-step explanation:

h(t) = -5t² + 10t + 22

When h(t) = 35:

35 = -5t² + 10t + 22

5t² − 10t + 13 = 0

This equation must have at least one real solution if the ball is to reach a height of 35 meters.  Which means the discriminant can't be negative.

b² − 4ac

(-10)² − 4(5)(13)

100 − 260

-160

The ball does not reach a height of 35 meters.

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