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Given the points A(-3, -2) and B(12, 3), determine the coordinates of point P on directed line segment stack A B with bar on top that partitions stack A B with bar on top in a ratio of 3/2.

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sqdancefan

Answer:

  P(6, 1)

Step-by-step explanation:

Point P is the weighted average of the end point coordinates. The weights are the reverse of the order of the segment lengths:

  P = (2A +3B)/(2+3)

  P = (2(-3, -2) +3(12, 3))/5 = (-6+36, -4+9)/5

  P = (6, 1)

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