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OpenStudy (anonymous):
which of the following is the equation of an ellipse centered at (2,3) having a horizontal minor axis of length 10 and a major axis of length 12
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OpenStudy (anonymous):
OpenStudy (anonymous):
I got B @ganeshie8 ?
OpenStudy (anonymous):
@triciaal?
OpenStudy (anonymous):
@DanJS
OpenStudy (danjs):
no...
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OpenStudy (danjs):
the divisor will be half of the major and minor axis then squared
OpenStudy (danjs):
5^2 and 6^2
OpenStudy (danjs):
remember if you have a center at the origin, the ellipse will stretch to +a and -a on the x axis, and the term is\[\frac{ (x-h)^2 }{ a^2 }\]
OpenStudy (danjs):
the entire axis major or minor will be 2a
OpenStudy (danjs):
so if they give you the full axis length, you need half of that for your a and b terms in the standard form of the ellipse equation
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OpenStudy (danjs):
so answer C
OpenStudy (danjs):
|dw:1418629371094:dw|
OpenStudy (danjs):
If major axis is from (-a) to (+a), the axis length = 2a
OpenStudy (danjs):
\[\frac{ x^2 }{ a^2 }\]
axis length = 2a
a = (axis length)/2
OpenStudy (anonymous):
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OpenStudy (anonymous):
I got B?
OpenStudy (anonymous):
@DanJS?
OpenStudy (anonymous):
@triciaal @sangya21
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