SOLUTION: the point Q is twice as far from (-2,-8) as it is from (13,5). If it lies on the segment joining the two, what are the coordinates of Q?
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Question 1012926: the point Q is twice as far from (-2,-8) as it is from (13,5). If it lies on the segment joining the two, what are the coordinates of Q?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the point Q is twice as far from (-2,-8) as it is from (13,5). If it lies on the segment joining the two, what are the coordinates of Q?
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Let the coordinates of Q be (x,y)
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change in horizontal distance = 13--2 = 15
2x + x = 15
3x = 15
x = 5
2x = 10
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The value of "x" is -2+10 = 8
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change in vertical distance = 5--8 = 13
2y + y = 13
3y = 13
y = 13/3
2y = 26/3
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The value of "y" is -8 + 26/3 = 2/3
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Ans: Q = (x,y) = (8,2/3)
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Cheers,
Stan H.
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