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Mathematics 16 Online
OpenStudy (anonymous):

,

OpenStudy (jamesj):

Well, what are the vertices of an ellipse in general centered around the origin: \[ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \] ? Hint: clearly (a,0) is one of them as (x,y) = (a,0) satisfies the equation. What are the other three? Once you can answer this question, your question and all others like it will be easy.

OpenStudy (anonymous):

SO ITS BETWEEN B AND C

OpenStudy (jamesj):

Instead of trying to use elimination, try and answer the general question and understand the concept over all. One pair of vertices is (a,0) and (-a,0). What's the other pair of vertices?

OpenStudy (anonymous):

IDK

OpenStudy (jamesj):

(0,b) and (0,-b) is the other pair. Now given that, what's the answer to your question? Look carefully at all of these vertices to this general equation.

OpenStudy (anonymous):

i think its b

OpenStudy (jamesj):

Given your vertices, (0, 2), (0, -2) and (3, 0), (-3, 0), a = 3 b = 2 Now substitute these values into the general equation I gave above.

OpenStudy (anonymous):

i dont know how to set it up.

OpenStudy (anonymous):

is b correct?

OpenStudy (jamesj):

No it's not. The vertices of x^2/a^2 + y^2/b^2 = 1 are (a,0), (-a,0), (0,b), (0,-b) Given your vertices we deduced that a = 3 and b = 2. Hence the equation of the ellipse MUST be \[ \frac{x^2}{3^2} + \frac{y^2}{2^2} = 1 \] Now you see the answer?

OpenStudy (anonymous):

c!

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