Point cap p partitions the directed line segment from cap A to cap b into the ratio ratio of 3 to 4 Will cap p be closer to cap A or cap b ? Why? Expand Image

A ratio of 3 to 4 means the segment from A to P is 3 parts, while the segment from P to b is 4 parts. There are 3 + 4 = 7 parts in all, so P is 3/7 of the total distance from A toward b. Since 3/7 is less than half, P is closer to A. The correct choice says P is closer to A because it is 3 sevenths of the distance from A to b.

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