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)![]() ![]() You can put this solution on YOUR website! 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 = \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 \n" ); document.write( " \n" ); document.write( " |