document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1024216>Question 1024216</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let y be a circle with center A and radius of length r. Let y' be another Circle with center A' and radius of length r', and let d be the distance from A to A' (seeFigure3.43). There is a hypothesis about the numbers r, r', and d that ensures that the circles y and y' intersect in two distinct points. Figure out what this hypothesis is. (Hint: It's statement that certain<BR>\n" );
document.write( "Numbers obtained from r, r', and d are less than certain others.)·<BR>\n" );
document.write( "What hypothesis on r, r', and d ensures that y and y' intersect in only one point, i.e., that the circles are tangent to each other?(See Figure<BR>\n" );
document.write( "3.44.)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #639654 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=639654\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ d\ <\ r\ +\ r'\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Ensures that the circles intersect in two distinct points.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ d\ =\ r\ +\ r'\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Ensures that the circles are tangent.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );