Question 1045651: The segment joining (2,-4) and (9,5) is divided into 2 segment one of which 5times as long as the other.Find the point of division.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! The segment joining (2,-4) and (9,5) is divided into 2 segment one of which 5times as long as the other. Find the point of division.
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Divide the segment into 6 parts, 1 for the short piece one for the long.
Do the x and y separately.
For x:
(9-2)/2 = 7/2
Divide by 6 --> 7/12
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For y:
(5+4)/2 = 9/2
Divide by 6 --> 3/4
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If the point of division is closer to (2,-4), add the x & y to (2,-4)
--> (31/12,-13/4)
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If the point of division is closer to (9,5), subtract the x & y to (2,-4)
--> (101/12,17/4)
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