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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 = 3*AB, what are the coordinates for point C? Express your answer as an ordered pair.

 Aug 10, 2021
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The x- and y- distances for the points of Point B are 12 more and 6 more than Point A. Because the length of BC is three times the length of AB, that means that the magnitude is also 3 times what it is now, 12 and 6. Calculate that, and it will be 36 and 18. Adding that to coordinate B for the x and y respectively gives the answer of (50, 22).

 

~~HN

 Aug 10, 2021

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