document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1045393>Question 1045393</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the ellipse in standard form that satisfies the given conditions. Draw the ellipse, its focus, and directrix. \r<BR>\n" );
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document.write( "2.) The vertices are at (3,-3) and (3,5) and the length of the minor axis is 6.\r<BR>\n" );
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document.write( "Please help me with my homework :'( Thank you so much. It would really sooooo much to me and would be greatly appreciated ^_^ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #660857 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=660857\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Standard Form of an Equation of an Ellipse is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+ ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "where Pt(h,k) is the center. (a variable positioned to correspond with major axis)<BR>\n" );
document.write( " a and b  are the respective vertices distances from center.<BR>\n" );
document.write( " The foci distances from center:   c = ±<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28a%5E2-b%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28a%5E2-b%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where  a > b<BR>\n" );
document.write( "eccentricity = c/a<BR>\n" );
document.write( "vertices are at (3,-3) and (3,5) |major axis 8, Center: (3,1)  a = 4 <BR>\n" );
document.write( " minor axis is 6   | b = 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2%2F4%5E2+%2B+%28y-1%29%5E2%2F3%5E2+=+1+ ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2F4%5E2+%2B+%28y-1%29%5E2%2F3%5E2+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "c = ±<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28a%5E2-b%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28a%5E2-b%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , c = ±<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2816-9%29 ALIGN=MIDDLE  ALT=\"sqrt%2816-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  c = ± <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287%29 ALIGN=MIDDLE  ALT=\"sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "foci: (3, 1- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287%29 ALIGN=MIDDLE  ALT=\"sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)  and  (3, 1+ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287%29 ALIGN=MIDDLE  ALT=\"sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "The directrices are a distance aČ/c in both directions from the center of the ellipse.<BR>\n" );
document.write( "directrix: y = 1 + 16/<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287%29 ALIGN=MIDDLE  ALT=\"sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)  and y = -3 - sqrt(7<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C+++-10%2C10%2C-10%2C10%2C+++grid%281%29%2C+arc%283%2C1%2C6%2C8%29%2C+circle%283%2C1%2C0.3%29%2C%0D%0Acircle%283%2C-3%2C+0.3%29%2C%0D%0Acircle%283%2C5%2C+0.3%29%2C%0D%0Acircle%280%2C1%2C+0.3%29%2C%0D%0Acircle%286%2C1%2C+0.3%29%2C%0D%0Acircle%283%2C%281-sqrt%287%29%29%2C+0.3%29%2C%0D%0Acircle%283%2C%281%2Bsqrt%287%29%29%2C+0.3%29%2C%0D%0Agraph%28+300%2C+300%2C+++-10%2C10%2C-10%2C10%2C++0%2C+1%2B16%2Fsqrt%287%29%2C+1+-+16%2Fsqrt%287%29+%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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