document.write( "Question 743473: find the distance between (1,-3) and (-2,6). express as a radical or a number rounded to the nearest hundredth. \n" ); document.write( "

Algebra.Com's Answer #452890 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
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Solved by pluggable solver: Distance Formula

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\n" ); document.write( " The first point is (x1,y1). The second point is (x2,y2)
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\n" ); document.write( " Since the first point is (1, -3), we can say (x1, y1) = (1, -3)
\n" ); document.write( " So $\"x%5B1%5D+=+1\"$ , $\"y%5B1%5D+=+-3\"$
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\n" ); document.write( " Since the second point is (-2, 6), we can also say (x2, y2) = (-2, 6)
\n" ); document.write( " So $\"x%5B2%5D+=+-2\"$ , $\"y%5B2%5D+=+6\"$
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\n" ); document.write( " Put this all together to get: $\"x%5B1%5D+=+1\"$ , $\"y%5B1%5D+=+-3\"$ , $\"x%5B2%5D+=+-2\"$ , and $\"y%5B2%5D+=+6\"$
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\n" ); document.write( " Now use the distance formula to find the distance between the two points (1, -3) and (-2, 6)
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\n" ); document.write( " $\"d+=+sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2+%2B+%28y%5B1%5D+-+y%5B2%5D%29%5E2%29\"$
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\n" ); document.write( " $\"d+=+sqrt%28%281+-+%28-2%29%29%5E2+%2B+%28-3+-+6%29%5E2%29\"$ Plug in $\"x%5B1%5D+=+1\"$ , $\"y%5B1%5D+=+-3\"$ , $\"x%5B2%5D+=+-2\"$ , and $\"y%5B2%5D+=+6\"$
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\n" ); document.write( " $\"d+=+sqrt%28%281+%2B+2%29%5E2+%2B+%28-3+-+6%29%5E2%29\"$
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\n" ); document.write( " $\"d+=+sqrt%28%283%29%5E2+%2B+%28-9%29%5E2%29\"$
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\n" ); document.write( " $\"d+=+sqrt%289+%2B+81%29\"$
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\n" ); document.write( " $\"d+=+sqrt%2890%29\"$
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$\"d+=+sqrt%289%2A10%29\"$

$\"d+=+sqrt%289%29%2Asqrt%2810%29\"$

$\"d+=+3%2Asqrt%2810%29\"$

\n" ); document.write( " $\"d+=+9.48683298050514\"$
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\n" ); document.write( " Answer:
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\n" ); document.write( " The distance between the two points (1, -3) and (-2, 6) is exactly $\"3%2Asqrt%2810%29\"$ units
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\n" ); document.write( " The approximate distance between the two points is about 9.48683298050514 units
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\n" ); document.write( " So again,
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\n" ); document.write( " Exact Distance: $\"3%2Asqrt%2810%29\"$ units
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\n" ); document.write( " Approximate Distance: $\"9.48683298050514\"$ units
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\n" ); document.write( "\n" ); document.write( "The approximate distance is roughly 9.48683298050514 units\r
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\n" ); document.write( "\n" ); document.write( "So you round that to the nearest hundredth to get 9.49 which is your final answer (if you decide to report the approximate answer over the exact answer) \n" ); document.write( "

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