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Katen [24]
3 years ago
11

What is the length of the major axis of the conic section shown below?

Mathematics
1 answer:
sveticcg [70]3 years ago
7 0

\dfrac{(x-2)^2}{49}+\dfrac{(y+5)^2}{36}=1

The equation of a elipse:

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1

The length of the major axis is equal 2a if a > b or 2b if b > a.

We have

a^2=49\to a=\sqrt{49}=7\\\\b^2=36\to b=\sqrt{36}=6\\\\a > b

therefore the length of the major axis is equal 2 · 7 = 14.

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