What is the length of the major axis of the ellipse whose equation is 60x^2 + 30y^2 = 150?

2020-07-14 1:52 am
Hey there, this is SAT 2 Math 2 question, would be great if someone solved and explained this. Thanks:)

回答 (1)

2020-07-14 2:06 am
✔ 最佳答案
60x² + 30y² = 150
(x²/2.5) + (y²/5) = 1
Since 5 > 2.5, the major axis lies on the y-axis.

When x = 0:
60(0)² + 30y² = 150
y² = 5
y = -√5  or  y = √5

Length of the major axis
= (√5) - (-√5)
= 2√5 (units)


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