what is the standard form equation of the ellipse with vertices at (0,6) and (0,-6) and co vertices at (4,0) and (-4,0)?

Question

aum · Answer

What is the length of the semi-major axis?
What is the length of the semi-minor axis?

anonymous · Answer

um thats all the information it gives....

aum · Answer

Yeah, from the given information you can figure out the lengths of semi-major and semi-minor axes.

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anonymous · Answer

okay so would the equation be x^2/16+y^2/36=1

aum · Answer

Since the major axis is vertical, along the y-axis, the equation of the ellipse is:
$$\large 
\frac{x^2}{b^2}+\frac{y^2}{a^2} = 1
$$where a is the length of the semi-major axis and b is the length of the semi-minor axis.

aum · Answer

Correct.

anonymous · Answer

wow thank youuuu

aum · Answer

You are welcome.