document.write( "Question 914545: (-12,2), (-9,6) \n" ); document.write( "

Algebra.Com's Answer #555179 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "

Solved by pluggable solver: Distance Formula

\n" ); document.write( "
\n" ); document.write( " The first point is (x1,y1). The second point is (x2,y2)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Since the first point is (-12, 2), we can say (x1, y1) = (-12, 2)
\n" ); document.write( " So $\"x%5B1%5D+=+-12\"$ , $\"y%5B1%5D+=+2\"$
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Since the second point is (-9, 6), we can also say (x2, y2) = (-9, 6)
\n" ); document.write( " So $\"x%5B2%5D+=+-9\"$ , $\"y%5B2%5D+=+6\"$
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Put this all together to get: $\"x%5B1%5D+=+-12\"$ , $\"y%5B1%5D+=+2\"$ , $\"x%5B2%5D+=+-9\"$ , and $\"y%5B2%5D+=+6\"$
\n" ); document.write( "
\n" ); document.write( " --------------------------------------------------------------------------------------------
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Now use the distance formula to find the distance between the two points (-12, 2) and (-9, 6)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " $\"d+=+sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2+%2B+%28y%5B1%5D+-+y%5B2%5D%29%5E2%29\"$
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " $\"d+=+sqrt%28%28-12+-+%28-9%29%29%5E2+%2B+%282+-+6%29%5E2%29\"$ Plug in $\"x%5B1%5D+=+-12\"$ , $\"y%5B1%5D+=+2\"$ , $\"x%5B2%5D+=+-9\"$ , and $\"y%5B2%5D+=+6\"$
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " $\"d+=+sqrt%28%28-12+%2B+9%29%5E2+%2B+%282+-+6%29%5E2%29\"$
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " $\"d+=+sqrt%28%28-3%29%5E2+%2B+%28-4%29%5E2%29\"$
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " $\"d+=+sqrt%289+%2B+16%29\"$
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " $\"d+=+sqrt%2825%29\"$
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " $\"d+=+5\"$
\n" ); document.write( "
\n" ); document.write( " ==========================================================
\n" ); document.write( "
\n" ); document.write( " Answer:
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " The distance between the two points (-12, 2) and (-9, 6) is exactly 5 units
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "

\n" ); document.write( " \n" ); document.write( "

\n" );