Question 1184178
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{{{27x^2+9y^2-81=0}}}
{{{27x^2+9y^2=81}}}
{{{x^2/3+y^2/9=1}}}<br>
Ellipse; put it in standard form:<br>
{{{(x-h)^2/b^2+(y-k)^2/a^2=1}}}<br>
(Note for an ellipse a is always greater than b)<br>
{{{(x-0)^2/(sqrt(3)^2)+(y-0)^2/3^2=1}}}<br>
Center (h,k) = (0,0)
semi-major axis a = 3 (in the y direction)
semi-minor axis b = sqrt(3) (in the x direction)<br>