document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=289185>Question 289185</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The circle x^2+y^2-6x-8y=0 intersects the y axis at A& B and is a tangent to the x axis at C. <BR>\n" );
document.write( "(a) write down the coordinates of pt C <BR>\n" );
document.write( "(b) find the length of the chord AB\r<BR>\n" );
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document.write( "i figured that a line or something touches (6,8) i think because of -6x and -8y<BR>\n" );
document.write( "thx!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209537 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=209537\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The circle x^2+y^2-6x-8y=0 intersects the y axis at A& B and is a tangent to the x axis at C.<BR>\n" );
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document.write( "Complete the square to find the center and radius of the circle:<BR>\n" );
document.write( "x^2-6x+9 + y^2-8y+16 = 25<BR>\n" );
document.write( "(x-3)^2 + (y-4)^2 = 25<BR>\n" );
document.write( "center at (3,4); radius = 5<BR>\n" );
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document.write( "Draw the picture of that circle putting the center at (3,4) <BR>\n" );
document.write( "and making the radius = 5.<BR>\n" );
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document.write( "y-intercepts = ?<BR>\n" );
document.write( "Let x = 0 and solve for \"y\":<BR>\n" );
document.write( "y^2-8y = 0<BR>\n" );
document.write( "y(y-8) = 0<BR>\n" );
document.write( "y = 0 or y = 8<BR>\n" );
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document.write( "The y-intercepts are (0,0) and (0,8)<BR>\n" );
document.write( "The chord AB has length = 8<BR>\n" );
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document.write( " <BR>\n" );
document.write( "(a) write down the coordinates of pt C<BR>\n" );
document.write( "Note: The circle is not tangent to the x-axis.<BR>\n" );
document.write( " <BR>\n" );
document.write( "C is directly below (3,4)<BR>\n" );
document.write( "C is (3,0) if it is on the x-axis<BR>\n" );
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document.write( "(b) find the length of the chord AB: 8<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============================================== <BR>\n" );
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