A student threw a ball directly upward from the balcony of a building. The height of the ball as measured from the ground "t" seconds after it was thrown, is given by the expression

h= -16t(2nd power) + 64t + 768

When does the ball reach the ground?

2 answers

The ball reaches the ground when h = 0

That leaves you with the job of solving
-16t^2 + 64t + 768 = 0

That can also be rewritten (after dividing both sides by -16) as

t^2 -4t -48 = 0

That equation can be factored easily. There will be two possible answers; one is negative. Take the positive one.
Then, 6x + 8y = 1 and 26x + 48y = 1 .
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