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After simplifying the solution the answer comes down to (34.921, -35.679) which is the point the ball hits the ground

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Our solutions represent the point at which the ball hits the ground. We solved this using the quadratic formula. Solutions are the intersection of the x-axis on a graph which represents the ball hitting the ground in this equations.

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https://youtu.be/jPTWU0XynbQ

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In this problem, the vertex represents the maximum height that the ball reaches and the half way mark between Margaret and Grey. The vertex is either the maximum or minimum of a quadratic equation.

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The y-intercept represents the height at which the ball comes into contact with Margaret's hand.

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y= -.0083x^2+.379x+6

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Margaret and Grey are playing 1 vs.1 volleyball and it gets pretty intense. Margaret serves the ball and makes contact with it at height of 6 ft. The ball reaches its maximum height of 10 ft when it passes the net, which is 29 feet away from Margaret. Write and solve a quadratic equation for this problem.