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)\"\" \"About 
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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?
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\n" ); document.write( "This is a Pythagoras problem. the distance between them is the hypotenuse
\n" ); document.write( "a^2 + b^2 = c^2
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\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
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\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
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\n" ); document.write( "Check 4^2 + 3^2 = 5^2
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