document.write( "Question 901275: Find the vertices, foci, eccentricity, and length of the latus rectum of the ellipse whose equation is x^2 plus 9y^2 equals to 9. \n" ); document.write( "
Algebra.Com's Answer #547324 by lwsshak3(11628)\"\" \"About 
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find the vertices, foci, eccentricity, and length of the latus rectum of the ellipse whose equation is x^2 plus 9y^2 equals to 9.
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\n" ); document.write( "x^2+9y^2=9
\n" ); document.write( "x^2/9+y^2=1
\n" ); document.write( "This is an equation of an ellipse with horizontal major axis with center at the origin.
\n" ); document.write( "Its standard form of equation: \"x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1\",a>b
\n" ); document.write( "For given ellipse:\"x%5E2%2F9%2By%5E2=1\"
\n" ); document.write( "center:(0,0)
\n" ); document.write( "a^2=9
\n" ); document.write( "a=3
\n" ); document.write( "vertices:(0±a,0)=(0±3,0)=(-3,0) and (3,0)
\n" ); document.write( "b^2=1
\n" ); document.write( "c^2=a^2-b^2=3-1=2
\n" ); document.write( "c=√2
\n" ); document.write( "foci(0±c,0)=(0±√2,0)=(-√2,0) and (√2,0)
\n" ); document.write( "eccentricity=c/a=√2/3
\n" ); document.write( "latus rectum=2b^2/a=2/3 \n" ); document.write( "
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