Question 691791
the major axis is 16 units long and parallel to the x-axis. the center is (5,4) and the minor axis is 9 units long
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Standard form of equation for an ellipse with horizontal major axis: {{{(x-h)^2/a^2+(y-k)^2/b^2=1}}}, a>b, (h,k)=(x,y) coordinates of the center.
guven center: (5,4)
given length of horizontal major axis=16=2a
a=8
a^2=64
given length of minor axis=9=2b
b=9/2=4.5
b^2=20.25
Equation of given ellipse:  {{{(x-5)^2/64+(y-4)^2/20.25=1}}}