document.write( "Question 1002409: Rosa works due north of home. Her husband Alan works due East. They leave for work at the same time. By the time Rosa is 3 miles from home, the distance between them is one mile more than Alan's distance from home. How far from home is Alan? \n" ); document.write( "
Algebra.Com's Answer #619338 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Rosa works due north of home. Her husband Alan works due East. \n" ); document.write( "They leave for work at the same time. \n" ); document.write( "By the time Rosa is 3 miles from home, the distance between them is one mile more than Alan's distance from home. \n" ); document.write( " How far from home is Alan? \n" ); document.write( ": \n" ); document.write( "This is a Pythagoras problem. the distance between them is the hypotenuse \n" ); document.write( "a^2 + b^2 = c^2 \n" ); document.write( ": \n" ); document.write( "a = Alan's distance from home \n" ); document.write( "b = 3 mi \n" ); document.write( "c = (a+1); one more mile than Alan's dist \n" ); document.write( ": \n" ); document.write( "a^2 + 3^2 = (a+1)^2 \n" ); document.write( "FOIL (a+1)(a+1) \n" ); document.write( "a^2 + 9 = a^2 + 2a + 1 \n" ); document.write( "a^2 - a^2 + 9 - 1 = 2a \n" ); document.write( "8 = 2a \n" ); document.write( "a = 4 mi is Alan from home \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check 4^2 + 3^2 = 5^2 \n" ); document.write( " |