document.write( "Question 398907: Stacy works due north of home. Her husband, Sam works due east. They leave for work at the same time. By the time Stacy is 7 miles from home, the distance between Stacy and Sam is 1 mile more than Sam's distance from home. How far from home is Sam. \n" ); document.write( "
Algebra.Com's Answer #282581 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Stacy works due north of home. Her husband, Sam works due east. \n" ); document.write( " They leave for work at the same time. \n" ); document.write( " By the time Stacy is 7 miles from home, the distance between Stacy and Sam is \n" ); document.write( " 1 mile more than Sam's distance from home. \n" ); document.write( " How far from home is Sam. \n" ); document.write( ": \n" ); document.write( "This is a pythag problem: a^2 + b^2 = c^2; b=7 \n" ); document.write( ": \n" ); document.write( "Let x = Sam's distance from home (a) \n" ); document.write( "then \n" ); document.write( "(x+1) = Sam's distance from Stacy (c) \n" ); document.write( ": \n" ); document.write( "x^2 + 7^2 = (x+1)^2 \n" ); document.write( "FOIL (x+1)(x+1) \n" ); document.write( "x^2 + 49 = x^2 + 2x + 1 \n" ); document.write( "x^2 - x^2 + 49 - 1 = 2x \n" ); document.write( "48 = 2x \n" ); document.write( "x = 24 mi is Sam's dist from home \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this on calc \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |