document.write( "Question 668706: find the foci and vertices of the ellipse.
\n" ); document.write( "x^2 y^2
\n" ); document.write( "--+ --=1
\n" ); document.write( "144 169 \n" ); document.write( "

Algebra.Com's Answer #416344 by lwsshak3(11628) $\"\"$ $\"About$

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find the foci and vertices of the ellipse.
\n" ); document.write( "x^2 y^2
\n" ); document.write( "--+ --=1
\n" ); document.write( "144 169
\n" ); document.write( "**
\n" ); document.write( "Standard form of equation for an ellipse with vertical major axis: $\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1\"$
\n" ); document.write( "a>b, (h,k)=(x,y) coordinates of the center
\n" ); document.write( "For given equation: $\"%28x%29%5E2%2F144%2B%28y%29%5E2%2F169=1\"$
\n" ); document.write( "center: (0,0)
\n" ); document.write( "a^2=169
\n" ); document.write( "a=√169=13
\n" ); document.write( "vertices:(0,0ąa)=(0,ą13)=(0,-13) and (0,13)
\n" ); document.write( "b^2=144
\n" ); document.write( "b=√144=12
\n" ); document.write( "c^2=a^2-b^2=169-144=25
\n" ); document.write( "c=√25=5
\n" ); document.write( "Foci:(0,0ąc)=(0,ą5)=(0,-5) and (0,5) \n" ); document.write( "

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