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The equation y = x^2 - 18x - 33 describes the height (in feet) of a ball tossed up in the air at 26 feet per second from a height of 105 feet above the ground. In how many seconds will the ball hit the ground? Express your answer as a decimal rounded to the nearest tenth.

 Jan 24, 2021
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When the ball hits the ground , height, y, = 0

 

0 = x^2 -18x-33     Use Quardratic formula   a = 1   b = -18    c= -33

    \(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)     to find   x = 9 +- sqrt 114        throw out the negative value     

x = 9 + sqrt 114 =~ 19.7 s

 Jan 24, 2021

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