document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1145650>Question 1145650</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the shortest distance from the origin to the graph of the circle with equation given below.\r<BR>\n" );
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document.write( "x^2−12x+y^2−12y+36=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #766873 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=766873\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the shortest distance from the origin to the graph of the circle with equation given below.\r<BR>\n" );
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document.write( "x^2−12x+y^2−12y+36=0<BR>\n" );
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document.write( "Find the center of the circle and its radius.<BR>\n" );
document.write( "x^2−12x+y^2−12y+36=0<BR>\n" );
document.write( "x^2−12x+y^2−12y = -36<BR>\n" );
document.write( "(x-6)^2 + (y-6)^2 = -36 + 36 + 36 = 36<BR>\n" );
document.write( "The center is (6,6) and the radius is 6.<BR>\n" );
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document.write( "Find the distance d to the center.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%286%5E2+%2B+6%5E2%29+=+6sqrt%282%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%286%5E2+%2B+6%5E2%29+=+6sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Subtract the radius if d is > radius.<BR>\n" );
document.write( "Distance = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6sqrt%282%29+-+6 ALIGN=MIDDLE  ALT=\"6sqrt%282%29+-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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