document.write( "Question 375357: which of the following points is not on the circle represented by the equation \"%28x-3%29%5E2%2B%28y%2B4%29%5E2=25\"?\r
\n" ); document.write( "\n" ); document.write( "A. (6,0)
\n" ); document.write( "B. (-1,-1)
\n" ); document.write( "C. (4,1)
\n" ); document.write( "D. None of these is on the circle
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Algebra.Com's Answer #266935 by EdwinMcCravy(4)\"\" \"About 
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which of the following points is not on the circle represented by the equation \"%28x-3%29%5E2%2B%28y%2B4%29%5E2=25\"?\r
\n" ); document.write( "\n" ); document.write( "A. (6,0)
\n" ); document.write( "Let's find out if (6,0) is or is not on the circle. To do that sustitute
\n" ); document.write( "6 for x and 0 for y in the equation for the circle:\r
\n" ); document.write( "\n" ); document.write( "\"%28x-3%29%5E2%2B%28y%2B4%29%5E2=25\"
\n" ); document.write( "\"%286-3%29%5E2%2B%280%2B4%29%5E2=25\"
\n" ); document.write( "\"%283%29%5E2%2B%284%29%5E2=25\"
\n" ); document.write( "\"9%2B16=25\"
\n" ); document.write( "\"25=25\"\r
\n" ); document.write( "\n" ); document.write( "That is true so therefore (6,0) is a point on the circle with the
\n" ); document.write( "equation \"%28x-3%29%5E2%2B%28y%2B4%29%5E2=25\"\r
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\n" ); document.write( "\n" ); document.write( "B. (-1,-1)
\n" ); document.write( "Let's find out if (-1,-1) is or is not on the circle. To do that sustitute
\n" ); document.write( "-1 for x and -1 for y in the equation for the circle:\r
\n" ); document.write( "\n" ); document.write( "\"%28x-3%29%5E2%2B%28y%2B4%29%5E2=25\"
\n" ); document.write( "\"%28-1-3%29%5E2%2B%28-1%2B4%29%5E2=25\"
\n" ); document.write( "\"%28-4%29%5E2%2B%283%29%5E2=25\"
\n" ); document.write( "\"16%2B9=25\"
\n" ); document.write( "\"25=25\"\r
\n" ); document.write( "\n" ); document.write( "That is true so therefore (-1,-1) is a point on the circle with the
\n" ); document.write( "equation \"%28x-3%29%5E2%2B%28y%2B4%29%5E2=25\"\r
\n" ); document.write( "\n" ); document.write( "-----------------------\r
\n" ); document.write( "\n" ); document.write( "C. (4,1)
\n" ); document.write( "Let's find out if (4,1) is or is not on the circle. To do that sustitute
\n" ); document.write( "4 for x and 1 for y in the equation for the circle:\r
\n" ); document.write( "\n" ); document.write( "\"%28x-3%29%5E2%2B%28y%2B4%29%5E2=25\"
\n" ); document.write( "\"%284-3%29%5E2%2B%281%2B4%29%5E2=25\"
\n" ); document.write( "\"%281%29%5E2%2B%285%29%5E2=25\"
\n" ); document.write( "\"1%2B25=25\"
\n" ); document.write( "\"26=25\"\r
\n" ); document.write( "\n" ); document.write( "That is false so therefore (4,1) is NOT a point on the circle with the
\n" ); document.write( "equation \"%28x-3%29%5E2%2B%28y%2B4%29%5E2=25\"\r
\n" ); document.write( "\n" ); document.write( "Below is an accurate graph of the circle and you can see that (4,1)
\n" ); document.write( "is just above the circle whereas the other two points are right on
\n" ); document.write( "the circle.\r
\n" ); document.write( "\n" ); document.write( " \r
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\n" ); document.write( "\n" ); document.write( "Edwin
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