What is an equation in standard form of an ellipse centered at the origin with vertex (-6,0) and co-vertex (0,4)?

Step-by-step explanation:

As we know standard equation of n ellipse is

In the given equation (h, k) is the center, a is the vertex and b is the co-vertex.

Here vertex is (-6, 0) and co-vertex is (0, 4)

Therefore, length of a = -6, b = 4 and origin is (0, 0)

Now the equation of the ellipse will be

Therefore, the equation of the ellipse will be

I'll do the first one for you. it isn't very hard at all.on number one, you have (50 × 3), which equals 150, and (3 × 3), which equals 9. after you establish that, you add 150 and 9 together. so, (150 + 9) equals 159.this means that 53 × 3 = 159.

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since the cosine is the ratio of the adjacent side to the hypotenuse, you can see that cos 60° = ½. answer. according to the property of cofunctions (topic 3), sin 30° is equal to cos 60°. sin 30° = ½.