document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042648>Question 1042648</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the standard equation of a circle which is centered at (-4,3) and tangent to the line y=-4x-30 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657660 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=657660\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rewrite the equation of the line as 4x + y +30 = 0.\r<BR>\n" );
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document.write( "===> The distance of the center (-4,3) of the circle from the tangential line <BR>\n" );
document.write( "4x + y +30 = 0 is given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+abs%284%2A-4%2B3%2B30%29%2Fsqrt%284%5E2%2B1%5E2%29+=+17%2Fsqrt%2817%29+=+sqrt%2817%29 ALIGN=MIDDLE  ALT=\"d+=+abs%284%2A-4%2B3%2B30%29%2Fsqrt%284%5E2%2B1%5E2%29+=+17%2Fsqrt%2817%29+=+sqrt%2817%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which, incidentally, is also the radius of the circle.\r<BR>\n" );
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document.write( "===> the standard equation of circle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%5E2%2B%28x-3%29%5E2+=+%28sqrt%2817%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%5E2%2B%28x-3%29%5E2+=+%28sqrt%2817%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%5E2%2B%28x-3%29%5E2+=+17 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%5E2%2B%28x-3%29%5E2+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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