Consider the following system of equations:How many solutions does the system have?

Explain how to find the height at which the balls meet. Then find the height to the nearest tenth.
Set the height equations equal and solve for the time: −16t² + 56t = −16t² + 156t − 248, so t = 2.48 seconds. Substitute 2.48 into either equation to find the height, which is 40.5 feet to the nearest tenth.
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