document.write( "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?
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Algebra.Com's Answer #629068 by stanbon(75887) $\"\"$ $\"About$

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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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\n" ); document.write( "Let the coordinates of Q be (x,y)
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\n" ); document.write( "change in horizontal distance = 13--2 = 15
\n" ); document.write( "2x + x = 15
\n" ); document.write( "3x = 15
\n" ); document.write( "x = 5
\n" ); document.write( "2x = 10
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\n" ); document.write( "The value of \"x\" is -2+10 = 8
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\n" ); document.write( "change in vertical distance = 5--8 = 13
\n" ); document.write( "2y + y = 13
\n" ); document.write( "3y = 13
\n" ); document.write( "y = 13/3
\n" ); document.write( "2y = 26/3
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\n" ); document.write( "The value of \"y\" is -8 + 26/3 = 2/3
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\n" ); document.write( "Ans: Q = (x,y) = (8,2/3)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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