document.write( "Question 42146: (x squared plus 25y squared equals 100)
\n" ); document.write( "x2 + 25y2 = 100
\n" ); document.write( "Graph each ellpise and find its foci.\r
\n" ); document.write( "\n" ); document.write( "(x squared plus 25y squared equals 100) \n" ); document.write( "

Algebra.Com's Answer #27439 by Nate(3500) $\"\"$ $\"About$

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$\"x%5E2+%2B+25y%5E2+=+100\"$
\n" ); document.write( " $\"x%5E2%2F100+%2B+y%5E2%2F4+=+1\"$
\n" ); document.write( "This ellipse has a horizontal transverse axis, an $\"a+=+10\"$ , a $\"b+=+2\"$ , and a center at the origin, (0,0).
\n" ); document.write( "Foci:
\n" ); document.write( " $\"c%5E2+=+a%5E2+-+b%5E2\"$
\n" ); document.write( " $\"c%5E2+=+10%5E2+-+2%5E2\"$
\n" ); document.write( " $\"c%5E2+=+100+-+4\"$
\n" ); document.write( " $\"c%5E2+=+96\"$
\n" ); document.write( " $\"c+=+sqrt%2896%29\"$ or $\"c+=+4%2Asqrt%286%29\"$
\n" ); document.write( "Foci: ( $\"-4%2Asqrt%286%29\"$ ,0) and ( $\"4%2Asqrt%286%29\"$ ,0)
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