document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62309>Question 62309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> need help on this one please<BR>\n" );
document.write( "complete the square and write the given equation in the standard form for the equation of a circle. then give the center and redius of the circle and sketch a graph<BR>\n" );
document.write( "x^2 + 8x + y^2 + 4y + 16= 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43049 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=43049\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Complete the square and write the given equation in the standard form for the equation of a circle. then give the center and redius of the circle and sketch a graph.<BR>\n" );
document.write( "x^2 + 8x + y^2 + 4y + 16= 0<BR>\n" );
document.write( "x^2+8x+___+y^2+4y+___=-16+___+___<BR>\n" );
document.write( "We need to fill the blanks with (b/2)^2 from each square we wish to complete.  Whatever you do to one side you have to do to the other side.  <BR>\n" );
document.write( "The first set of blanks get (8/2)^2=4^2=16 the second get (4/2)^2=(2)^2=4<BR>\n" );
document.write( "x^2+8x+16+y^2+4y+4=-16+16+4<BR>\n" );
document.write( "(x^2+8x+16)+(y^2+4y+4)=4  Factor<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%5E2%2B%28y%2B2%29%5E2=4 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%5E2%2B%28y%2B2%29%5E2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---standard form of the equation of the circle.<BR>\n" );
document.write( "The standard form of a circle is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where (h,k) is the center and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28r%5E2%29=r ALIGN=MIDDLE  ALT=\"sqrt%28r%5E2%29=r\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the radius.<BR>\n" );
document.write( "For this circle the center is (-4,-2) and the radius is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%29=highlight%282%29 ALIGN=MIDDLE  ALT=\"sqrt%284%29=highlight%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-7.6%2C1%2C-4.5%2C1%2Csqrt%284-%28x%2B4%29%5E2%29-2%2C%28-sqrt%284-%28x%2B4%29%5E2%29%29-2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );