document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143417>Question 143417</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the ellipse whose equation is (x-3)^2/ 25 + (y-4)^2/16 =1<BR>\n" );
document.write( "a. what is the center? (3,4)?<BR>\n" );
document.write( "b. What are the lenghts of the major and minor axes, and the distance between the foci?<BR>\n" );
document.write( "c. find the coordinates of the focal points.\r<BR>\n" );
document.write( "\n" );
document.write( "thank you so much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104386 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=104386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider the ellipse whose equation is (x-3)^2/ 25 + (y-4)^2/16 =1<BR>\n" );
document.write( "a. what is the center?...... (3,4)<BR>\n" );
document.write( "b. What are the lengths of the major and minor axes,<BR>\n" );
document.write( "Major: Vertices are (3-5,4) and (3+5,4) or (-2,4) and (8,4)<BR>\n" );
document.write( "So the length of the major axis is 8--2 = 10 units.<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Minor: Co-vertices are (3,4-4) and (3,4+4) or (3,0) and (3,8)<BR>\n" );
document.write( "So the length of the minor axis is 8-0 = 8 units<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( " and the distance between the foci?<BR>\n" );
document.write( "a=5, b=4, so c=sqrt(25-16) = 3<BR>\n" );
document.write( "So distance between the foci is 2*3 = 6<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "c. find the coordinates of the focal points. <BR>\n" );
document.write( "(3-3,4) and (3+3,4) or (0,4) and (6,4)<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );