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A segment with endpoints at A(2,-2) and B(14,4) is extended through B to point C. If BC = 1/2*AB, what are the coordinates for point C? Express your answer as an ordered pair.

 Feb 2, 2022
 #1
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The distance between \(A\) and \(B\) is \(12\) across, and \(6 \) up.

 

Because the distance between \(B\) and \(C\) is half of the distance, \(C\) will be \(6\) units across, and \(3\) units above \(B\), meaning that \(C\) is \(\color{brown}\boxed {(20,7)}\)

 Feb 3, 2022

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