document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=795364>Question 795364</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the lengths of the tangents (8,3) to each circle<BR>\n" );
document.write( "a) x^2+y^2 =9<BR>\n" );
document.write( "b) x^2+y^2=36<BR>\n" );
document.write( "c) x^2 + y^2 = 65<BR>\n" );
document.write( "Can you please help me out? Thanks so much in advance:)<BR>\n" );
document.write( "Can you also please show the steps it would really help me understand:) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #481013 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=481013\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the lengths of the tangents (8,3) to each circle<BR>\n" );
document.write( "a) x^2+y^2 =9<BR>\n" );
document.write( "b) x^2+y^2=36<BR>\n" );
document.write( "c) x^2 + y^2 = 65<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "All 3 circles have the center at (0,0).<BR>\n" );
document.write( "a) x^2+y^2 =9<BR>\n" );
document.write( "Has a y-intercept of (0,3).<BR>\n" );
document.write( "--> length = 8 units.<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "b) x^2+y^2=36<BR>\n" );
document.write( "The line from (0,0) is the hypotenuse of a right triangle formed by (0,0), (8,3) and the tangent point.<BR>\n" );
document.write( "Hyp = sqrt(73)<BR>\n" );
document.write( "Radius = 6<BR>\n" );
document.write( "---<BR>\n" );
document.write( "t = tangent length<BR>\n" );
document.write( "6^2 + t^2 = 73<BR>\n" );
document.write( "t = sqrt(37)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "c) x^2 + y^2 = 65<BR>\n" );
document.write( "t = sqrt(8)<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "The tangent points were not asked for.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );