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8 April, 18:13

During batting practice, two pop flies are hit from the same location, 2 s apart. The paths are modeled by the equations h = - 16t^2 + 56t and h = - 16t^2 + 156t - 248, where t is the time that has passed since the first ball was hit. Explain how to find the height at which the balls meet. Then find the height to the nearest tenth.

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  1. 8 April, 18:37
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    2.5 seconds since the first ball was hit.

    Step-by-step explanation:

    The equations that model the heights are:

    h = - 16t² + 56t h = - 16t² + 156t - 248

    When the balls meet, both heights are equal, therefore:

    -16t² + 56t = - 16t² + 156t - 248

    -16t² + 56t + 16t² - 156t + 248 = 0

    - 100t + 248 = 0

    248 = 100t

    248/100 = t

    t = 2.48 ≈ 2.5
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