document.write( "Question 89100: Find the distance between (-2,0) and (4,5). \n" ); document.write( "

Algebra.Com's Answer #64764 by jim_thompson5910(35256) $\"\"$ $\"About$

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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
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\n" ); document.write( "\n" ); document.write( " $\"d=sqrt%28%28-2-4%29%5E2%2B%280-5%29%5E2%29\"$ Plug in $\"x%5B1%5D=-2\"$ , $\"x%5B2%5D=4\"$ , $\"y%5B1%5D=0\"$ , $\"y%5B2%5D=5\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"d=sqrt%28%28-6%29%5E2%2B%28-5%29%5E2%29\"$ Evaluate $\"-2-4\"$ to get -6. Evaluate $\"0-5\"$ to get -5. \r
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\n" ); document.write( "\n" ); document.write( " $\"d=sqrt%2836%2B25%29\"$ Square each value\r
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\n" ); document.write( "\n" ); document.write( " $\"d=sqrt%2861%29\"$ Add\r
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\n" ); document.write( "\n" ); document.write( "Which approximates to\r
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\n" ); document.write( "\n" ); document.write( " $\"d=7.81024967590665\"$ \r
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\n" ); document.write( "\n" ); document.write( "So the distance between (-2,0) and (4,5) is about 7.81024967590665 \n" ); document.write( "

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