document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=932634>Question 932634</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this problem! The path swum by the captain of a synchronized swimming team is modeled by the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2%2B%28y-2%29%5E2=25 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2B%28y-2%29%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >. One of her team mates swims in a path modeled by the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B%281%2F2%29x%5E2%2Bx=1%2F2 ALIGN=MIDDLE  ALT=\"y%2B%281%2F2%29x%5E2%2Bx=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. At what point are the two swimmers in danger of colliding? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566320 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=566320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is mostly many algebra steps, relying on substitution.   Best start is to solve the second equation for y in terms of x, and substitute this into the first equation.  Solve for the value of x, first.  This should be a long process, but not too complicated.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2%2By%5E2-4y%2B4=25 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2By%5E2-4y%2B4=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and do the substitution.  You might do the squaring of y separately and then include this for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2 ALIGN=MIDDLE  ALT=\"y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the equation... </SPAN>\n" );
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