document.write( "Question 446954: Two cars leave an intersection. One car travels north;the other east. When the car traveling north had gone 6 mi, the distance between the cars was 2 mi more than the distance traveled by the car heading east. How far had the eastbound car traveled? \n" ); document.write( "
Algebra.Com's Answer #307779 by ankor@dixie-net.com(22740)\"\" \"About 
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Two cars leave an intersection. One car travels north; the other east.
\n" ); document.write( " When the car traveling north had gone 6 mi, the distance between the cars was
\n" ); document.write( " 2 mi more than the distance traveled by the car heading east.
\n" ); document.write( " How far had the eastbound car traveled?
\n" ); document.write( ":
\n" ); document.write( "let a = distance traveled by the eastbound car
\n" ); document.write( ":
\n" ); document.write( "Solve this as a right triangle: a^2 + b^2 = c^2
\n" ); document.write( "Where
\n" ); document.write( "a = east dist
\n" ); document.write( "b = 6 mi
\n" ); document.write( "c = (a+2)
\n" ); document.write( ":
\n" ); document.write( "a^2 + 6^2 = (a+2)^2
\n" ); document.write( "FOIL the right side
\n" ); document.write( "a^2 + 36 = a^2 + 4a + 4
\n" ); document.write( "Combine like terms on the right
\n" ); document.write( "0 = a^2 - a^2 + 4a + 4 - 36
\n" ); document.write( "4a - 32 = 0
\n" ); document.write( "4a = 32
\n" ); document.write( "a = \"32%2F4\"
\n" ); document.write( "a = 8 mi east dist
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that is right
\n" ); document.write( "8^2 + 6^2 = 10^2
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