document.write( "Question 96018: Find the distance between (7, –9) and (–5, –4). \n" ); document.write( "

Algebra.Com's Answer #69910 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
Start with the given distance formula\r
\n" ); document.write( "\n" ); document.write( " $\"d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29\"$ where

is the first point

and

is the second point

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"d=sqrt%28%287--5%29%5E2%2B%28-9--4%29%5E2%29\"$ Plug in $\"x%5B1%5D=7\"$ , $\"x%5B2%5D=-5\"$ , $\"y%5B1%5D=-9\"$ , $\"y%5B2%5D=-4\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"d=sqrt%28%2812%29%5E2%2B%28-5%29%5E2%29\"$ Evaluate $\"7--5\"$ to get 12. Evaluate $\"-9--4\"$ to get -5. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"d=sqrt%28144%2B25%29\"$ Square each value\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"d=sqrt%28169%29\"$ Add\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"d=13\"$ Simplify the square root (note: If you need help with simplifying the square root, check out this solver)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the distance between (7,-9) and (-5,-4) is 13 units \n" ); document.write( "

\n" );