document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1071413>Question 1071413</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two concentric circles are shown. The radius of the inner circle is 3, and the distance between the circles is 3. A line segment of length 4 has its endpoints on both circles. Compute the distance from point A to point B.\r<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 #686581 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=686581\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume that the center of the circles is the origin (0,0),<BR>\n" );
document.write( "The outer circle is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=6%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=6%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=36 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If we make a circle centered at the intersection of the 3 and 4 lines with a radius of 4, it would be,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28y-3%29%5E2=4%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28y-3%29%5E2=4%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28y%2B3%29%5E2=16 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28y%2B3%29%5E2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can find the intersection of the outer circle and the new circle,<BR>\n" );
document.write( "From 1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=36-y%5E2 ALIGN=MIDDLE  ALT=\"x%5E2=36-y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting into 2,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36-y%5E2%2B%28y%2B3%29%5E2=16 ALIGN=MIDDLE  ALT=\"36-y%5E2%2B%28y%2B3%29%5E2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36-y%5E2%2By%5E2%2B6y%2B9=16 ALIGN=MIDDLE  ALT=\"36-y%5E2%2By%5E2%2B6y%2B9=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6y%2B45=16 ALIGN=MIDDLE  ALT=\"6y%2B45=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6y=-29 ALIGN=MIDDLE  ALT=\"6y=-29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-29%2F6 ALIGN=MIDDLE  ALT=\"y=-29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28-29%2F6%29%5E2=36 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28-29%2F6%29%5E2=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=36-%28-29%2F6%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2=36-%28-29%2F6%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=1296%2F36-841%2F36 ALIGN=MIDDLE  ALT=\"x%5E2=1296%2F36-841%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=455%2F36 ALIGN=MIDDLE  ALT=\"x%5E2=455%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-sqrt%28455%29%2F6 ALIGN=MIDDLE  ALT=\"x=-sqrt%28455%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So now find the distance between (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6 ALIGN=MIDDLE  ALT=\"-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >) and (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%28455%29%2F6 ALIGN=MIDDLE  ALT=\"-sqrt%28455%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-29%2F6 ALIGN=MIDDLE  ALT=\"-29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=%28-sqrt%28455%29%2F6-0%29%5E2%2B%28-29%2F6-%28-6%29%29%5E2 ALIGN=MIDDLE  ALT=\"D%5E2=%28-sqrt%28455%29%2F6-0%29%5E2%2B%28-29%2F6-%28-6%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=455%2F36%2B%28-29%2F6%2B36%2F6%29%5E2 ALIGN=MIDDLE  ALT=\"D%5E2=455%2F36%2B%28-29%2F6%2B36%2F6%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=455%2F36%2B%287%2F6%29%5E2 ALIGN=MIDDLE  ALT=\"D%5E2=455%2F36%2B%287%2F6%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=455%2F36%2B49%2F36 ALIGN=MIDDLE  ALT=\"D%5E2=455%2F36%2B49%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=504%2F36 ALIGN=MIDDLE  ALT=\"D%5E2=504%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=14 ALIGN=MIDDLE  ALT=\"D%5E2=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=sqrt%2814%29 ALIGN=MIDDLE  ALT=\"D=sqrt%2814%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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