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A line segment begins at $(2, 5)$. It is 10 units long and ends at the point $(-6, y)$ where $y > 0$. What is the value of $y$?

 Dec 17, 2019
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Distance formula between 2 points:

 

d^2 = (x1-x2)^2 + (y1-y2)^2

100 = (2- -6)^2 + (5 - y2)^2

100 = 64 + (5-y2)^2

36 = (5-y2)^2

6 =+- ( 5- y2)

6 = y2-5             (since we want y2>0)

11 = y2    

 Dec 17, 2019

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