What is an equation is standard form of an ellipse centered at the origin with vertex (-5,0) and co-vertex (0,3)?

Answer 1

The standard form equation of an ellipse centered at the origin is:

(x^2/a^2) + (y^2/b^2) = 1

where a is the semi-major axis (distance from the center to the vertex) and b is the semi-minor axis (distance from the center to the co-vertex).

Since the ellipse is centered at the origin, the center is (0,0).

The vertex (-5,0) is 5 units to the left of the center, so a = 5.

The co-vertex (0,3) is 3 units above the center, so b = 3.

Substituting these values into the standard form equation, we get:

(x^2/25) + (y^2/9) = 1

Therefore, the equation in standard form of an ellipse centered at the origin with vertex (-5,0) and co-vertex (0,3) is (x^2/25) + (y^2/9) = 1.

Answer 2

are you sure

Answer 3

Yes, I am sure. The equation in standard form of an ellipse centered at the origin with vertex (-5,0) and co-vertex (0,3) is (x^2/25) + (y^2/9) = 1.

Answer 4

is that correct

Answer 5

Yes, that is correct.