document.write( "Question 539017: How do u do 9x(squared) + 4y(sqaured)=36? Its either a parabola, circle, ellipse, or hyperbola? \n" ); document.write( "
Algebra.Com's Answer #353309 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! How do u do 9x(squared) + 4y(sqaured)=36? Its either a parabola, circle, ellipse, or hyperbola? \n" ); document.write( "9x^2+4y^2=36 \n" ); document.write( "divide by 36 \n" ); document.write( "x^2/4+y^2/9=1 \n" ); document.write( "This is an equation of an ellipse with vertical major axis of standard form: \n" ); document.write( "(x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k) being the (x,y) coordinates of the center \n" ); document.write( "For given equation: \n" ); document.write( "Center: (0,0) \n" ); document.write( "a^2=9 \n" ); document.write( "a=3 \n" ); document.write( "length of vertical major axis=2a=6 \n" ); document.write( "vertices: (0,0±a)=(0,0±3)=(0,3) and (0,-3) (end points of major axis) \n" ); document.write( ".. \n" ); document.write( "b^2=4 \n" ); document.write( "b=2 \n" ); document.write( "length of minor axis=2b=4 \n" ); document.write( ".. \n" ); document.write( "Foci: \n" ); document.write( "c^2=a^2-b^2=9-4=5 \n" ); document.write( "c=√5 \n" ); document.write( "Foci: (0,0±c)=(0,0±√5)=(0,√5) and (0,-√5) \n" ); document.write( " |