document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972435>Question 972435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the values of c such that the line with equation y=2x+c is tangent to the circle with equation x^2+y^2=36 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #594753 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=594753\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The tangent to the circle meets on the circle for a line with slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and goes through (0,0).  Center of the circle is at (0,0).  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%2F2 ALIGN=MIDDLE  ALT=\"y=-x%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > must intersect <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%2Bc ALIGN=MIDDLE  ALT=\"y=2x%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > for a point ON the circle.  The intersection point will be 6 units from the origin, because the radius of the circle is 6.  Make use of the Distance Formula.  That is the general idea although I have not worked through to actually try to solve. </SPAN>\n" );
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