document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162018>Question 162018</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 7. What is the standard equation of the circle with radius 5, and center (-5,-1)? \r<BR>\n" );
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document.write( "A (x-5)^2 + (y-1)^2 = 25 <BR>\n" );
document.write( "B (x+5)^2 + (y+1)^2 = 25<BR>\n" );
document.write( "C (x+5)^2 + (y+5)^2 = 5<BR>\n" );
document.write( "D A circle cannot have a center at (-5,-1).<BR>\n" );
document.write( "E (x-5)^2 - (y-1)^2 = 25<BR>\n" );
document.write( "F (x+5)^2 - (y+1)^2 = 25\r<BR>\n" );
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document.write( "I used the formula for a circle and plugged the information in, and I got F for the right answer. But choice D is confusing me and i wanted to make sure F really is correct. Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #119399 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=119399\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the center is (-5,-1) this means that h=-5 and k=-1. Remember, the center is at (h,k). Also, since the radius is 5, this tells us that r=5\r<BR>\n" );
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document.write( "<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;\" > Start with the general equation of any circle\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-%28-5%29%29%5E2%2B%28y-%28-1%29%29%5E2=5%5E2 ALIGN=MIDDLE  ALT=\"%28x-%28-5%29%29%5E2%2B%28y-%28-1%29%29%5E2=5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=-5 ALIGN=MIDDLE  ALT=\"h=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=-1 ALIGN=MIDDLE  ALT=\"k=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=5 ALIGN=MIDDLE  ALT=\"r=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29%5E2%2B%28y%2B1%29%5E2=5%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%5E2%2B%28y%2B1%29%5E2=5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-%28-5%29 ALIGN=MIDDLE  ALT=\"x-%28-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5 ALIGN=MIDDLE  ALT=\"x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%28-1%29 ALIGN=MIDDLE  ALT=\"y-%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B1 ALIGN=MIDDLE  ALT=\"y%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29%5E2%2B%28y%2B1%29%5E2=25 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%5E2%2B%28y%2B1%29%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square 5 to get 25\r<BR>\n" );
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document.write( "So the standard equation of the circle with a radius of 5 and the center (-5,-1)  is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29%5E2%2B%28y%2B1%29%5E2=25 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%5E2%2B%28y%2B1%29%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that the answer is B </SPAN>\n" );
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