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Given the points A(-1, 2) and B(7, 8), 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 1/3.

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sqdancefan

Answer:

  P(1, 3.5)

Step-by-step explanation:

Point P is the weighted average of the coordinates of the end points of segment AB. The weights are the reverse of the relative segment lengths.

  P = (3A +1B)/(3+1)

  P = (3(-1, 2) +(7, 8))/4 = (-3+7, 6+8)/4

  P = (1, 3.5)

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