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A line segment begins at $(1, 3)$. It is 5 units long and ends at the point $(4, x)$ and $x > 0$. What is the value of $x$?

 Oct 6, 2020
 #1
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distance formula

(x1-x2)^2   + (y1-y2)^2 = d^2

(4-1)^2     + ( x-3)^2 = 5^2

9              +  (x-3)^2 = 25

(x-3)^2 = 16

x-3 = 4

x = 7

 Oct 6, 2020

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