document.write( "Question 232505: 2 cars leave intersection, one travel east; other north. When the car traveling east had gone 15 miles the diatance between the cars was 5 miles more than the distance traveled by the car heading north, how far had the north bound car traveled. \n" ); document.write( "
Algebra.Com's Answer #171898 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 2 cars leave intersection, one travel east; other north. \n" ); document.write( " When the car traveling east had gone 15 miles the distance between the cars was \n" ); document.write( " 5 miles more than the distance traveled by the car heading north, how far had \n" ); document.write( " the north bound car traveled. \n" ); document.write( ": \n" ); document.write( "this is a right triangle problems a^2 + b^2 = c^2 \n" ); document.write( ": \n" ); document.write( "Let a = 15; the distance by the Eastbound car \n" ); document.write( "Let b = distance traveled by the Northbound car \n" ); document.write( ": \n" ); document.write( "The distance between the cars is the hypotenuse \n" ); document.write( "\"distance between the cars was 5 miles more than the distance traveled by \n" ); document.write( " the car heading north,\", therefore \n" ); document.write( "c = b+5 \n" ); document.write( ": \n" ); document.write( "The equation: \n" ); document.write( "15^2 + b^2 = (b+5)^2 \n" ); document.write( ": \n" ); document.write( "FOIL the right side \n" ); document.write( "225 + b^2 = b^2 + 10b + 25 \n" ); document.write( ": \n" ); document.write( "Subtract b^2 from both sides \n" ); document.write( "225 = 10b + 25 \n" ); document.write( ": \n" ); document.write( "Subtract 25 from both sides \n" ); document.write( "225 - 25 = 10b \n" ); document.write( "200 = 10b \n" ); document.write( "b = \n" ); document.write( "b = 20 miles the distance of he northbound car \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "See if this is true \n" ); document.write( "a=15 \n" ); document.write( "b=20 \n" ); document.write( "c=25 \n" ); document.write( ": \n" ); document.write( "15^2 + 20^2 = 25^2 \n" ); document.write( "225 + 400 = 625! \n" ); document.write( ": \n" ); document.write( "How about this? Did it make sense to you? \n" ); document.write( " |