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(please help) What are the coordinates of the point on the directed line segment from (-10, -5) to (5, 1) that partitions into ratio of 1 to 2?

please help What are the coordinates of the point on the directed line segment from 10 5 to 5 1 that partitions into ratio of 1 to 2 class=

Respuesta :

mathmate

Answer:

P(-5,-3)

Step-by-step explanation:

directed line segment  AB where

A(-10,-5) and B(5,1)

Vector of segment AB = B-A = <15,6>

Add one third of the vector length to A to get the partition point, P

A(-10,-5) + <15,6>/3 =A(-10,-5)+<5,2> = P(-5,-3)

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