document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1142123>Question 1142123</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me understand this and help me answer it<BR>\n" );
document.write( " The circle is tangent to line 5x + 12y= 26 and the center is at the origin </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #762793 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=762793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "You didn't ask a question; I will assume you want to know how to find the equation of the circle.<br><BR>\n" );
document.write( "(1) The equation of a circle with center (h,k) and radius r is <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;\" >.  With center (0,0), the equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2+=+r%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2+=+r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br>I will guess that you knew that....<br><BR>\n" );
document.write( "So to find the equation of the circle, you need to find the radius of the circle.<br><BR>\n" );
document.write( "(2) A radius to a point of tangency is perpendicular to the tangent; it is therefore the shortest distance from the center of the circle to any point on the tangent.<br><BR>\n" );
document.write( "(3) There is a concise formula for the shortest distance from a given point to a given line.  You can use the given center (0,0) and the line 5x+12y=26 to find the radius. Then you will have all you need to write the equation of the circle.<br><BR>\n" );
document.write( "Here is the formula for the (shortest) distance from a point (m,n) to a line with equation Ax+By+C=0.  Note the equation of the line must be in that exact form.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28%28Am%2BBn%2BC%29%2Fsqrt%28A%5E2%2BB%5E2%29%29 ALIGN=MIDDLE  ALT=\"abs%28%28Am%2BBn%2BC%29%2Fsqrt%28A%5E2%2BB%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "If you need more help to finish writing the equation, post a thank-you note describing what you have done on the problem or what part you are having difficulty with. </SPAN>\n" );
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