document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183261>Question 183261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Convert to parametric form: (x-2)²/16 + (y-1)²/25 = 1. Please help me!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137617 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=137617\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2%2F16+%2B+%28y-1%29%5E2%2F25+=+1 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2%2F16+%2B+%28y-1%29%5E2%2F25+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-2%29%2F4%29%5E2+%2B+%28%28y-1%29%2F5%29%5E2+=+1 ALIGN=MIDDLE  ALT=\"%28%28x-2%29%2F4%29%5E2+%2B+%28%28y-1%29%2F5%29%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2%2F16 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-2%29%2F4%29%5E2 ALIGN=MIDDLE  ALT=\"%28%28x-2%29%2F4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-1%29%5E2%2F25 ALIGN=MIDDLE  ALT=\"%28y-1%29%5E2%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28y-1%29%2F5%29%5E2 ALIGN=MIDDLE  ALT=\"%28%28y-1%29%2F5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cos%28t%29%29%5E2%2B%28sin%28t%29%29%5E2=1 ALIGN=MIDDLE  ALT=\"%28cos%28t%29%29%5E2%2B%28sin%28t%29%29%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > for all \"t\", this means that \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cos%28t%29%29%5E2%2B%28sin%28t%29%29%5E2=%28%28x-2%29%2F4%29%5E2+%2B+%28%28y-1%29%2F5%29%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cos%28t%29%29%5E2=%28%28x-2%29%2F4%29%5E2 ALIGN=MIDDLE  ALT=\"%28cos%28t%29%29%5E2=%28%28x-2%29%2F4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%28t%29%29%5E2=%28%28y-1%29%2F5%29%5E2 ALIGN=MIDDLE  ALT=\"%28sin%28t%29%29%5E2=%28%28y-1%29%2F5%29%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=%28cos%28t%29%29%5E2=%28%28x-2%29%2F4%29%5E2 ALIGN=MIDDLE  ALT=\"%28cos%28t%29%29%5E2=%28%28x-2%29%2F4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the first equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28t%29=%28x-2%29%2F4 ALIGN=MIDDLE  ALT=\"cos%28t%29=%28x-2%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Acos%28t%29=x-2 ALIGN=MIDDLE  ALT=\"4%2Acos%28t%29=x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 4.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Acos%28t%29%2B2=x ALIGN=MIDDLE  ALT=\"4%2Acos%28t%29%2B2=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 2 to both sides.\r<BR>\n" );
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document.write( "So the first parametric equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4%2Acos%28t%29%2B2 ALIGN=MIDDLE  ALT=\"x=4%2Acos%28t%29%2B2\"   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=%28sin%28t%29%29%5E2=%28%28y-1%29%2F5%29%5E2 ALIGN=MIDDLE  ALT=\"%28sin%28t%29%29%5E2=%28%28y-1%29%2F5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the first equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28t%29=%28y-1%29%2F5 ALIGN=MIDDLE  ALT=\"sin%28t%29=%28y-1%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Asin%28t%29=y-1 ALIGN=MIDDLE  ALT=\"5%2Asin%28t%29=y-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 5.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Asin%28t%29%2B1=y ALIGN=MIDDLE  ALT=\"5%2Asin%28t%29%2B1=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 1 to both sides.\r<BR>\n" );
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document.write( "So the second parametric equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5%2Asin%28t%29%2B1 ALIGN=MIDDLE  ALT=\"y=5%2Asin%28t%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the parametric equations are: \r<BR>\n" );
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