document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=170009>Question 170009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the length of the major axis for the graph of 49x^2 + 16y^2 = 784\r<BR>\n" );
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document.write( "I'm struggling with this one.  Any help would be appreciated.\r<BR>\n" );
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document.write( "Thank you \r<BR>\n" );
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document.write( "Michele\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 #125472 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=125472\">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=49x%5E2+%2B+16y%5E2+=+784 ALIGN=MIDDLE  ALT=\"49x%5E2+%2B+16y%5E2+=+784\"   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=%2849x%5E2+%2B+16y%5E2%29%2F784+=+cross%28784%2F784%29 ALIGN=MIDDLE  ALT=\"%2849x%5E2+%2B+16y%5E2%29%2F784+=+cross%28784%2F784%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 784. The goal here is to make the right side equal to 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2849x%5E2+%2B+16y%5E2%29%2F784+=+1 ALIGN=MIDDLE  ALT=\"%2849x%5E2+%2B+16y%5E2%29%2F784+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2849x%5E2%29%2F784+%2B+%2816y%5E2%29%2F784+=+1 ALIGN=MIDDLE  ALT=\"%2849x%5E2%29%2F784+%2B+%2816y%5E2%29%2F784+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the fraction\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%29%2F16+%2B+%28y%5E2%29%2F49+=+1 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%2F16+%2B+%28y%5E2%29%2F49+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%29%2F%284%5E2%29+%2B+%28y%5E2%29%2F%287%5E2%29+=+1 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%2F%284%5E2%29+%2B+%28y%5E2%29%2F%287%5E2%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite 16 as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E2 ALIGN=MIDDLE  ALT=\"4%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Rewrite 49 as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%5E2 ALIGN=MIDDLE  ALT=\"7%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now the equation is in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-h%29%5E2%29%2F%28a%5E2%29+%2B+%28%28y-k%29%5E2%29%2F%28b%5E2%29+=+1 ALIGN=MIDDLE  ALT=\"%28%28x-h%29%5E2%29%2F%28a%5E2%29+%2B+%28%28y-k%29%5E2%29%2F%28b%5E2%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=0 ALIGN=MIDDLE  ALT=\"h=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=0 ALIGN=MIDDLE  ALT=\"k=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=4 ALIGN=MIDDLE  ALT=\"a=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=7 ALIGN=MIDDLE  ALT=\"b=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The values of \"a\" and \"b\" are the lengths of the major and minor axis. If \"a\" is larger than \"b\", then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a ALIGN=MIDDLE  ALT=\"2a\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the length of the major axis. On the other hand, if \"b\" is larger than \"a\", then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b ALIGN=MIDDLE  ALT=\"2b\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the length of the major axis.\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%3Ea ALIGN=MIDDLE  ALT=\"b%3Ea\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this means that the length of the major axis is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b ALIGN=MIDDLE  ALT=\"2b\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So multiply the value of \"b\" by 2 to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A7=14 ALIGN=MIDDLE  ALT=\"2%2A7=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the length of the major axis is 14 units </SPAN>\n" );
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