document.write( "Question 981832: The segment joining (-3,-2) and (-1/2,3) is extended a distance equal to 4/5 of its own length. Find the terminal point. \n" ); document.write( "

Algebra.Com's Answer #602794 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "Label (-3,-2) A, (-1/2, 3) B and Terminal point T.
\n" ); document.write( "Distance between A and B = 5
\n" ); document.write( "Distance between B and T = 4
\n" ); document.write( "AB/BT = 5/4
\n" ); document.write( "b - a/t - b = 5/4
\n" ); document.write( "Cross multiply
\n" ); document.write( "5(t - b) = 4(b - a)
\n" ); document.write( "5t - 5b = 4b - 4a
\n" ); document.write( "Collect like terms
\n" ); document.write( "5t = 4b - 4a + 5b
\n" ); document.write( "5t = 9b - 4a
\n" ); document.write( "T = 1/5(9b - 4a)
\n" ); document.write( "T = 1/5( 9(-1/2,3)) - 4(-3 -2))
\n" ); document.write( "T = 1/5(-9/2 , 27) + (12 ,8)
\n" ); document.write( "T = 1/5(15/2, 35)
\n" ); document.write( "T = (3/2,7)
\n" ); document.write( "This is the Terminal point.
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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