document.write( "Question 258355: Starting at home, a man traveled 9 miles east, then 7 miles north, then 3 miles east, then x miles south. At that point, he was 13 miles from home. Find all possible values for x.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #190207 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let east be positive X, north positive Y.
\n" ); document.write( "He starts at (0,0).
\n" ); document.write( "9 miles east: (0,0)+(9,0)=(9,0)
\n" ); document.write( "7 miles north: (9,0)+(0,7)=(9,7)
\n" ); document.write( "3 miles east:(9,7)+(3,0)=(12,7)
\n" ); document.write( "x miles south:(12,7)+(0,-x)=(12,7-x)
\n" ); document.write( "Use the distance formula,
\n" ); document.write( " $\"D%5E2=%28x2-x1%29%5E2%2B%28y2-y1%29%5E2\"$
\n" ); document.write( " $\"13%5E2=%2812-0%29%5E2%2B%287-x-0%29%5E2\"$
\n" ); document.write( " $\"169=144%2B%287-x%29%5E2\"$
\n" ); document.write( " $\"25=%287-x%29%5E2\"$
\n" ); document.write( " $\"7-x=0+%2B-+5\"$
\n" ); document.write( " $\"x=7+%2B-+5\"$
\n" ); document.write( " $\"x=2\"$ or $\"x=12\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );