document.write( "Question 819444: graph the ellipse and give the domain and range
\n" ); document.write( "[(x-8)^2/100]+[(y-5)^2/49]=1 \n" ); document.write( "
Algebra.Com's Answer #493628 by lwsshak3(11628)\"\" \"About 
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graph the ellipse and give the domain and range
\n" ); document.write( "[(x-8)^2/100]+[(y-5)^2/49]=1
\n" ); document.write( "This is an equation of an ellipse with horizontal major axis.
\n" ); document.write( "Its standard form of equation: \"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\", a>b, (h,k)=(x,y) coordinates of center.
\n" ); document.write( "..
\n" ); document.write( "For given ellipse:
\n" ); document.write( "center:(8,5)
\n" ); document.write( "a^2=100
\n" ); document.write( "a=√100=10
\n" ); document.write( "vertices: (8±a,5)=(8±10,5)=(-2,5) and (18,5)(end-points of horizontal major axis)
\n" ); document.write( "b^2=49
\n" ); document.write( "b=√49=7
\n" ); document.write( "minor axis: (8,5±b)=(8,5±7)=(8,-2) and (8,12) (end-points of minor axis)
\n" ); document.write( "domain:(-2,18)
\n" ); document.write( "range:(-2,12)\r
\n" ); document.write( "\n" ); document.write( "see graph below:
\n" ); document.write( "y=±(49-49(x-8)^2/100)^.5+5\r
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