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Mathematics 22 Online
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

OpenStudy (anonymous):

OpenStudy (anonymous):

I got B @ganeshie8 ?

OpenStudy (anonymous):

@triciaal?

OpenStudy (anonymous):

@DanJS

OpenStudy (danjs):

no...

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

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):

OpenStudy (anonymous):

I got B?

OpenStudy (anonymous):

@DanJS?

OpenStudy (danjs):

sorry i have to go, this should help you... https://www.youtube.com/watch?v=-htHljgaFl0

OpenStudy (anonymous):

@triciaal @sangya21

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