Question

Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics. Vertex at (-5,0) and co-vertex at (0,4).

Answer 1

@mathmale Can you help me??

Answer 2

@jim_thompson5910

Answer 3

I'd strongly suggest that you graph this ellipse as best you can. Remember that this graph will have symmetry: vertical and horizontal.

Show the vertex and the co-vertex.

Answer 4

would you say that this ellipse is horizontal or vertical? How would you know?

Answer 5

I don't really know cuz I haven't learned these ellipses at all.. But let me post the choices..hang on..

Answer 6

a.\[\frac{ x ^{2} }{ 25 }+\frac{ y^2 }{ 25 }\] =1
b.\[\frac{ x^2 }{ 16 }+\frac{ y^2 }{ 25 }\] =1
c. \[\frac{ x^2 }{ 5 } +\frac{ y^2 }{ 4 }=1\]
d. \[\frac{ x^2 }{ 4 }+\frac{ y^2 }{ 5 }=1\]

Answer 7

Yana, what kind of learning materials are you working with? Have you a textbook, online materials, or do you actually attend classroom lectures?

I hate to see you struggling in the dark. You need, as I did, some reference so that you could learn the basics of conic sections (including ellipses).

I will sketch this ellipse based upon the 2 points given:

Answer 8

Yana, the info given seems to indicate that the center of this ellipse is (0,0) (the origin).

If that is so, then the equation of this ellipse has the form\[\frac{ x^2 }{ a^2 }+\frac{ y^2 }{ b^2 }=1\]

Have you seen this before? If so, where?

Answer 9

If you'll look at my diagram again, you'll see the values of a and b.

Please substitute these into the equation I've just typed out. When you're done, you'll have the equation you wanted for this particular ellipse.

Answer 10

I have not seen that before....hang on let me get the equation and tall me if im right..

Answer 11

Just give me some time....real quick:)

Answer 12

ok...is it c??

Answer 13

\[\frac{ x^2 }{ 5^2 }+\frac{ y^2 }{ 4^2 }=1\]??

Answer 14

wait i kind of messed up..