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The points (1,-2) and (4,-10) are adjacent vertices of a square. What is the perimeter of the square?

 Dec 19, 2021
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To find the perimeter, we must first find the distance from (1, -2) to  (4, -10). To do this, we can use the distance formula.

((xδ)2+(yδ)2), where δ=the change in positioning for the point.

We can plug in for this equation to get ((41)2+(102)2)

Simplifying this, we get (32+(8)2), then (9+64), and finally 73

Since there are 4 sides to a square, multiply 73 by 4 to account for all sides.

The final answer should be 473 since 73 is prime.

 Dec 19, 2021

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