document.write( "Question 597527: 1) (x-4)^2/9+y^2+4y+4/25=1\r
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document.write( "Solve for y, find center, focus, name the curve\r
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document.write( "Would be very thankful for help in this have no clue where to start! \n" );
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Algebra.Com's Answer #378281 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! (x-4)^2/9+y^2+4y+4/25=1 \n" ); document.write( "Solve for y, find center, focus, name the curve \n" ); document.write( "(x-4)^2/9+(y^2+4y+4)/25=1 \n" ); document.write( "(x-4)^2/9+(y+2)^2/25=1 \n" ); document.write( "This is an equation of an ellipse with vertical major axis of the standard form: \n" ); document.write( "x-h)^2/b^2+(y-k)^2/a^2, a>b, (h,k)=(x,y) coordinates of center \n" ); document.write( "For given equation:(x-4)^2/9+(y+2)^2/25=1 \n" ); document.write( "center:(4,-2) \n" ); document.write( "a^2=25 \n" ); document.write( "b^2=9 \n" ); document.write( "c^2=a^2-b^2=25-9=16 \n" ); document.write( "c=√16=4 \n" ); document.write( "focus: (4,-2±c)=(4-2±4)=(4,-6) and (4,2) \n" ); document.write( " \n" ); document.write( " |