document.write( "Question 179851: Find the distance to two decimal places from the point (10,10)to the midpoint of the line segment from A(-3,7) to B(-4,-5). \n" ); document.write( "

Algebra.Com's Answer #134807 by Fombitz(32388) $\"\"$ $\"About$

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First find the midpoint of AB using the midpoint formula,
\n" ); document.write( " $\"x%5Bm%5D=%28x%5B1%5D%2Bx%5B2%5D%29%2F2\"$
\n" ); document.write( " $\"y%5Bm%5D=%28y%5B1%5D%2By%5B2%5D%29%2F2\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"x%5Bm%5D=%28-3-4%29%2F2=-3.5\"$
\n" ); document.write( " $\"y%5Bm%5D=%287-5%29%2F2=1\"$
\n" ); document.write( "Now use the distance formula between this ( $\"x%5Bm%5D\"$ , $\"y%5Bm%5D\"$ ) and (10,10),
\n" ); document.write( " $\"D=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29\"$
\n" ); document.write( " $\"D=sqrt%28%28-3.5-10%29%5E2%2B%281-10%29%5E2%29\"$
\n" ); document.write( " $\"D=sqrt%28%28-13.5%29%5E2%2B%28-9%29%5E2%29\"$
\n" ); document.write( " $\"D=sqrt%28%28182.25%29%2B%2881%29%29\"$
\n" ); document.write( " $\"D=sqrt%28263.25%29\"$
\n" ); document.write( " $\"D=16.22\"$ \n" ); document.write( "

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