document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=504075>Question 504075</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mary works due north of home.  Her husband Juan works due east.  They leave for work at the same time.  By the time Mary is 5 miles from home, the distance between them is 1 mile more than Juan’s distance from home.  How far from home is Juan. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339504 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=339504\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mary can be viewed as driving up the y-axis to the point (0,5).<BR>\n" );
document.write( "Juan is driving along the x-axis.<BR>\n" );
document.write( "The diagonal line from (0,5) to (0,x) is \"1 more than Juan's distance from home.\"<BR>\n" );
document.write( "So the diagonal line is of length x+1.<BR>\n" );
document.write( "Of course, this diagonal line is the hypotenuse.<BR>\n" );
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document.write( "Using the Pythagorean Theorem...<BR>\n" );
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document.write( "(x+1)^2 = x^2 + 25<BR>\n" );
document.write( "x^2 + 2x + 1 = x^2 + 25<BR>\n" );
document.write( "subtract x^2 from both sides<BR>\n" );
document.write( "2x + 1 = 25<BR>\n" );
document.write( "subtract 1 from both sides<BR>\n" );
document.write( "2x = 24<BR>\n" );
document.write( "divide both sides by 2<BR>\n" );
document.write( "x = 12<BR>\n" );
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document.write( "Juan is 12 miles from home.<BR>\n" );
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document.write( "Always check your work.<BR>\n" );
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document.write( "c^2 = 13^2 = 169<BR>\n" );
document.write( "x^2 = 12^2 = 144<BR>\n" );
document.write( "y^2 = 5^2 = 25<BR>\n" );
document.write( "169 = 144+25<BR>\n" );
document.write( "Correct.<BR>\n" );
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document.write( "Answer: Juan is 12 miles from home.<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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