document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=606216>Question 606216</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What would be the equation of the ellipse whose vertices are at (4,5) and (10,5) and which has a semi-minor axis length of 1? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #382121 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=382121\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What would be the equation of the ellipse whose vertices are at (4,5) and (10,5) and which has a semi-minor axis length of 1?<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Given ellipse has a horizontal major axis.<BR>\n" );
document.write( "Its standard form: (x-h)^2/a^2+(y-k)^2/b^2=1, a>b, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "y-coordinate of center=5<BR>\n" );
document.write( "x-coordnate of center=(10+4)/2=7 (mid point formula)<BR>\n" );
document.write( "center: (7,5)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "length of major axis=6 (4 to 10)=2a<BR>\n" );
document.write( "a=3<BR>\n" );
document.write( "a^2=9<BR>\n" );
document.write( "..<BR>\n" );
document.write( "length of minor axis=2=2b<BR>\n" );
document.write( "b=1<BR>\n" );
document.write( "b^2=1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "(x-7)^2/9+(y-5)^2/1=1<BR>\n" );
document.write( "(x-7)^2/9+(y-5)^2=1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );