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The path of a ball kicked from the ground can be modeled by the equation y=−1/4(x−2)(x−22), where x and y are measured in feet. The x-axis represents the ground. How far does the ball land from where it is kicked?

 Mar 24, 2020
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The problem is to find the two zeros of the function and then find the distance between them.

 

First:  multiply out the equation:  y  =  -0.25(x - 2)(x - 22)  =  -0.25(x2 - 24x + 44)

 

Second: set this equation to zero and solve:   0.25(x2 - 24x + 44)  =  0

              Divide both sides by 0.25:                           x2 - 24x + 44  =  0

              Factor:                                                         (x - 2)(x - 22)  =  0

              Find the zeros:                                             x = 2  or  x = 22

 

Third:  find the distance between these two answers:                                            (your turn)

 Mar 24, 2020

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