SOLUTION: the segment joining A(-3, "-2)" and B(-1/2 , 3) is extended to a distance equal to 1/5 of its own length. find the new end point closest to point A

Question 1193680: the segment joining A(-3, "-2)" and B(-1/2 , 3) is extended to a distance equal to 1/5 of its own length. find the new end point closest to point A
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

It is implied in the wording of the problem that one of the points remains stationary. So if we want to find the point closest to A after increasing the length of AB by 1/5 of its length, we need to move from point A AWAY FROM point B.

The difference between A and B in the x direction is 2.5 units (the difference between -3 and -1/2); the difference in the y direction is 5 (the difference between -2 and 3).

Extending AB by 1/5 of its length means adding 1/5 of 2.5 = 0.5 units to the difference in the x direction and 1/5 of 5 = 1 unit to the difference in the y direction.

B is to the right and above A; to keep B stationary and increase the length of the segment by 1/5 of its length, we need to start at A and move 0.5 units LEFT and 1 unit DOWN -- putting us at (-3-0.5,-2-1) = (-3.5,-3).

ANSWER: (-3.5,-3)

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