Cherpilgrileon Cherpilgrileon

29-09-2016
Mathematics

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A segment with endpoints A (3, 2) and B (6, 11) is partitioned by a point C such that AC and BC form a 2:3 ratio. Find the x value for C

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HomertheGenius HomertheGenius

01-10-2016

k = AC/BC = 2/3
x C = ( x 1 + k x 2) / ( 1 + k )
x C = ( 3 + 2/3 * 6 ) / ( 1 + 2/3 )
x C = ( 3 + 4 ) : 5/3 = 7 * 3/5
x C = 4.2 ( the x value for C )

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