document.write( "Question 996030: Two cars leave an intersection one car travels north; the other east. When the car traveling north had gone 6 miles, the distance between the cars was 2 miles more than the distance traveled by the car heading east how far had the eastbound car traveled \n" ); document.write( "

Algebra.Com's Answer #614617 by stanbon(75887) $\"\"$ $\"About$

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Two cars leave an intersection one car travels north; the other east. When the car traveling north had gone 6 miles, the distance between the cars was 2 miles more than the distance traveled by the car heading east how far had the eastbound car traveled
\n" ); document.write( "---
\n" ); document.write( "Draw the picture.
\n" ); document.write( "north:: 6 miles
\n" ); document.write( "east:: x miles
\n" ); document.write( "diagonal(x+2) miles
\n" ); document.write( "---------
\n" ); document.write( "Equation:
\n" ); document.write( "(x+2)^2 = x^2 + 6^2
\n" ); document.write( "-----
\n" ); document.write( "x^2 + 4x + 4 = x^2 + 36
\n" ); document.write( "------
\n" ); document.write( "4x - 32 = 0
\n" ); document.write( "4(x-8) = 0
\n" ); document.write( "x = 8 miles
\n" ); document.write( "x+2 = 10 miles
\n" ); document.write( "----------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "------------ \n" ); document.write( "

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