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A point (2, n) is 5 units away from the point \((-1,3)\). What is the product of all possible integer values for n?

 Mar 20, 2022
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The two points are 3 units across from each other.

 

For the 2 points to be exactly 5 units apart from each other, we need a 3 - 4 - 5 right triangle, because one of the legs is a 3, and the hypotenuse is a 5. 

 

The only points that meet these conditions are \((2,7) \) and \((2, -1)\).

 

Thus, \(n\) can equal \(-1\) or \(7\), and the answer is \(-1 \times 7 = \)___.

 Mar 20, 2022

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