document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248303>Question 248303</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the coordinates of the center and the radius of each circle whose equation is given. Then draw the graph.\r<BR>\n" );
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document.write( "#31)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2%2B6y=-50-14x ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2%2B6y=-50-14x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I am confused about what to do after expanding the y^2+6y part to (y+6y+9)^2.  The \"-14x\" is also confusing me.\r<BR>\n" );
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document.write( "Any help would be greatly appreciated! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180950 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=180950\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the coordinates of the center and the radius of each circle whose equation is given. Then draw the graph.\r<BR>\n" );
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document.write( "#31)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2%2B6y=-50-14x ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2%2B6y=-50-14x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I am confused about what to do after expanding the y^2+6y part to (y+6y+9)^2.  The \"-14x\" is also confusing me.<BR>\n" );
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document.write( "Rewrite:<BR>\n" );
document.write( "x^2 + 14x + ? + y^2 + 6y + ? = -50 + ?<BR>\n" );
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document.write( "Complete the square on the x-terms and on the y-terms:<BR>\n" );
document.write( "x^2 + 14x + 49 + y^2 + 6y + 9 = -50 + 49 + 9<BR>\n" );
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document.write( "(x+7)^2 + (y+3)^2 = 8<BR>\n" );
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document.write( "Center at (-7,-3)<BR>\n" );
document.write( "Radius = sqrt(8) = 2sqrt(2)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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