document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014512>Question 1014512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mary works due north of home.  Her husband works due east. They leave for work at the same time.  By the time Mary is 7 miles from home, the distance between them is one mile more than Alan's distance from home. How far from home is Alan? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #630783 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=630783\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> she's 7 miles from home due north.<BR>\n" );
document.write( "he's x miles from home due east.<BR>\n" );
document.write( "the distance between them is x + 1.\r<BR>\n" );
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document.write( "you have a right triangle where one leg is 7 and one leg is x and the hypotenuse is x+1.\r<BR>\n" );
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document.write( "by pythagorus, hypotenuse squared = one leg square plus the other leg squared.\r<BR>\n" );
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document.write( "you get (x+1)^2 = 7^2 + x^2 = 49 + x^2\r<BR>\n" );
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document.write( "simplify to get x^2 + 2x + 1 = 49 + x^2\r<BR>\n" );
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document.write( "subtract x^2 from both sides of the equation to get 2x + 1 = 49\r<BR>\n" );
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document.write( "subtract 1 from both sides of this equation to get 2x = 48\r<BR>\n" );
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document.write( "divide both sides of this equation by 2 to get x = 24.\r<BR>\n" );
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document.write( "that's your solution.\r<BR>\n" );
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document.write( "alan is 24 miles from home and the distance between them is 25 miles.\r<BR>\n" );
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document.write( "once again, you have the right triangle where one leg is 7 and the other leg is 24 and the hypotenuse is 25.\r<BR>\n" );
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document.write( "7^2 + 24^2 is equal to 49 + 576 which is equal to 625.<BR>\n" );
document.write( "this confirms the pythagrus rule has been calculated successfully.\r<BR>\n" );
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document.write( "since 25 is equal to 24 + 1, then the solution is confirmed as good because all requirements of the problem have been satisfied.\r<BR>\n" );
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document.write( "your solution is that her husband is 24 miles from home.\r<BR>\n" );
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document.write( "she is 7 miles from home due north.<BR>\n" );
document.write( "he is 24 miles from home due east.<BR>\n" );
document.write( "they are 25 miles apart.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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