Question

given the ellipse ((x - 4)^2)/169 + ((y + 8)^2)/100 = 1 and the hyperbola ((x - 4)^2)/169 + ((y + 8)^2)/100 = 1, which has a greater value?

Answer 1

can you check your question again please?

Answer 2

both equations represent the same, an ellipse.

Answer 3

no that's what it says.. my choices for the answer are: the ellipse, the hyperbola, neither, or it cannot be determined.

Answer 4

hehe, I am seriously too confused by this question, you know, both equations are EXACTLY the same, they both represent ellipses in that form. So I really wonder if it's a trick question or not.

To me it seems like if I would ask you

The quadratic polynomial:

\[y=x^2+3\] and the linear polynomial
\[y=x^2+3\] which has higher values?, this questions makes less sense, because the 2nd equation is not linear, they both are quadratic and therefore they share the same values.

Answer 5

maybe they want you to solve for y, you get a radical expression and just the upper half of the ellipse, but that doesn't read like that in the question.

Answer 6

so my best bet is that it can't be determined??

Answer 7

Yes, but I would really enjoy to invite @UnkleRhaukus first to take a look at this question, if you could, maybe I am missing something elementary.

Answer 8

haha ok

Answer 9

it says it isn't that choice. So.. idk i am confused with it too.

Answer 10

@mukushla, mind to take a look?

Answer 11

The question makes no sense to me, because in order for the second to be a hyperbole, there should be a minus sign.