Find an equation in standard form for the ellipse with the vertical major axis of length 18 and minor axis of length 16.
2 answers:
Let us assume then that the center is the origin. If the major axis is 18, then a = 9 and a^2=81. If the minor axis is 16, then b = 8 and b^2=64. Now you can write the equation. Remember that this ellipse is vertical and so a^2 goes under y^2
Answer:
x²/64 + y²/81 = 1
Step-by-step explanation:
Standard form of an equation for the ellipse is
Here b is the length of vertical major axis = 9
and minor axis of length a = 8
Therefore the equation of the ellipse will be
So the answer is x²/64 + y²/81 = 1
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