document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132240>Question 1132240</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a circle defined bythe equation (x-6)+(y-9)=34 is tangent to a line at the point 9.4 what is the equation of the line<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #749207 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=749207\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe you mean at the point (9,4).<BR>\n" );
document.write( "that would be the point whose x-value is 9 and y-value is 4.\r<BR>\n" );
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document.write( "the center of the circle is at he point (6,9).\r<BR>\n" );
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document.write( "i believe you also meant that the equation if (x-6)^2 + (y-9)^2 = 34\r<BR>\n" );
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document.write( "the tangent to the circle at the point (9,4) will be perpendicular to the radius of the circle that intersects that point.\r<BR>\n" );
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document.write( "the equation for the radius of the circle that goes through the point (9,4) is:\r<BR>\n" );
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document.write( "y = -5/3 * x + 19\r<BR>\n" );
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document.write( "the equation for the line tangent to the circle at the point (9,4) is:\r<BR>\n" );
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document.write( "y = 3/5 * x - 7/5\r<BR>\n" );
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document.write( "the graph of the circle and line representing the radius of the circle and the line tangnt to the circle at the point (9,4) is shown below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2019/010101.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "the circle is red.<BR>\n" );
document.write( "the radius is blue.<BR>\n" );
document.write( "the tangent to the circle perpendiular to the radius at the point (9,4) is green.\r<BR>\n" );
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document.write( "you should already know how to find the equation of the line through two points so i didn't get into how to do that.\r<BR>\n" );
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document.write( "if you need instructions on that, you can view the reference below.\r<BR>\n" );
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document.write( "there are also instructions on the equation of a circle, in case you're not familiar with that.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.mathsisfun.com/algebra/line-equation-2points.html\" target = \"_blank\">https://www.mathsisfun.com/algebra/line-equation-2points.html</a>\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.purplemath.com/modules/sqrcircle.htm\" target = \"_blank\">https://www.purplemath.com/modules/sqrcircle.htm</a>\r<BR>\n" );
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