document.write( "Question 222687: Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 9 miles, the distance between the cars was 3 miles more than the distance traveled by the car heading east. How far had the east bound car traveled? \n" ); document.write( "
Algebra.Com's Answer #166716 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two cars leave an intersection. \n" ); document.write( " One car travels north; the other east. \n" ); document.write( "When the car traveling north had gone 9 miles, the distance between the cars \n" ); document.write( " was 3 miles more than the distance traveled by the car heading east. \n" ); document.write( " How far had the east bound car traveled? \n" ); document.write( ": \n" ); document.write( "let x = distance traveled by the eastbound car \n" ); document.write( ": \n" ); document.write( "Given that the distance between the cars = (x+3) \n" ); document.write( ": \n" ); document.write( "This is a pythag problem; a^2 + b^2 = c^2 \n" ); document.write( ": \n" ); document.write( "9^2 + x^2 = (x+3)^2 \n" ); document.write( "FOIL \n" ); document.write( "81 + x^2 = x^2 + 6x + 9 \n" ); document.write( ": \n" ); document.write( "81 - 9 = x^2 - x^2 + 6x \n" ); document.write( ": \n" ); document.write( "72 = 6x \n" ); document.write( "x = \n" ); document.write( "x = 12 mi traveled by the eastbound car \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution \n" ); document.write( "9^2 + 12^2 = 15^2 \n" ); document.write( "81 + 144 = 225 \n" ); document.write( " |