document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=874597>Question 874597</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the length of the radius? </SPAN>\n" );
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document.write( "A circle is described by the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+y%5E2+%2B+14x+%2B+2y+%2B+14+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+y%5E2+%2B+14x+%2B+2y+%2B+14+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. What are the coordinates for the center of the circle and the length of the radius?<BR>\n" );
document.write( "A:<BR>\n" );
document.write( "Express the equation in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+h%29%5E2+%2B+%28y+-+k%29%5E2+=+r%5E2 ALIGN=MIDDLE  ALT=\"%28x+-+h%29%5E2+%2B+%28y+-+k%29%5E2+=+r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+y%5E2+%2B+14x+%2B+2y+%2B+14+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+y%5E2+%2B+14x+%2B+2y+%2B+14+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2++%2B+14x%29+%2B+%28y%5E2+%2B+2y%29+=+-14 ALIGN=MIDDLE  ALT=\"%28x%5E2++%2B+14x%29+%2B+%28y%5E2+%2B+2y%29+=+-14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2++%2B+14x+%2B+49%29+%2B+%28y%5E2+%2B+2y+%2B+1%29+=+-14+%2B+49+%2B+1 ALIGN=MIDDLE  ALT=\"%28x%5E2++%2B+14x+%2B+49%29+%2B+%28y%5E2+%2B+2y+%2B+1%29+=+-14+%2B+49+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+7%29%5E2+%2B+%28y+%2B+1%29%5E2+=+36 ALIGN=MIDDLE  ALT=\"%28x+%2B+7%29%5E2+%2B+%28y+%2B+1%29%5E2+=+36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = -7, k = -1, and r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2836%29 ALIGN=MIDDLE  ALT=\"sqrt%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6<BR>\n" );
document.write( "Therefore, the center is (-7, -1) and the length of the radius is 6. </SPAN>\n" );
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