document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92723>Question 92723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find x and y<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 #67500 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=67500\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the segment labeled \"y\" makes up the radius, this means the radius is y units. Also the segments labeled \"9\" and \"x\" make up the radius, this means the the radius is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B9 ALIGN=MIDDLE  ALT=\"x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > units. So that means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2B9 ALIGN=MIDDLE  ALT=\"y=x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now lets look at the upper triangle\r<BR>\n" );
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document.write( "The vertical leg is equal to half of the chord length. So the vertical leg is 15 units (since the chord is bisected, ie <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F2=15 ALIGN=MIDDLE  ALT=\"30%2F2=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C500%2C-3%2C3%2C-2%2C3%2C%0D%0A%0D%0Aline%280%2C3%2C-2%2C0%29%2C%0D%0Aline%28-2%2C0%2C0%2C0%29%2C%0D%0Aline%280%2C0%2C0%2C3%29%2C%0D%0Alocate%280.2%2C1.5%2C15%29%2C%0D%0Alocate%28-1%2C-0.05%2Cx%29%2C%0D%0Alocate%28-1%2C2%2Cy%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So by looking at the triangle, we can use Pythagoreans Theorem to express y in terms of x like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=x%5E2%2B15%5E2 ALIGN=MIDDLE  ALT=\"y%5E2=x%5E2%2B15%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2B9 ALIGN=MIDDLE  ALT=\"y=x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > (we solved for this earlier)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B9%29%5E2=x%5E2%2B15%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B9%29%5E2=x%5E2%2B15%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B18x%2B81=x%5E2%2B15%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B18x%2B81=x%5E2%2B15%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Foil\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B18x%2B81=x%5E2%2B225 ALIGN=MIDDLE  ALT=\"x%5E2%2B18x%2B81=x%5E2%2B225\"   DISABLED_style= \"max-width:90%; height:auto;\" >Evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%5E2 ALIGN=MIDDLE  ALT=\"15%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 225\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B18x%2B81-x%5E2=225 ALIGN=MIDDLE  ALT=\"x%5E2%2B18x%2B81-x%5E2=225\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B18x-x%5E2=225-81 ALIGN=MIDDLE  ALT=\"x%5E2%2B18x-x%5E2=225-81\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 81 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18x=144 ALIGN=MIDDLE  ALT=\"18x=144\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8 ALIGN=MIDDLE  ALT=\"x=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 18\r<BR>\n" );
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document.write( "Now plug <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8 ALIGN=MIDDLE  ALT=\"x=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > back into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2B9 ALIGN=MIDDLE  ALT=\"y=x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=8%2B9=17 ALIGN=MIDDLE  ALT=\"y=8%2B9=17\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the radius is 17 units where x=8 and y=17 </SPAN>\n" );
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