What is the length of the minor axis for the ellipse ?

Question

What is the length of the minor axis for the ellipse x^2/25+y^2/9=1

25

5

6

9

In the graph of the parabola y = 3x2, the vertex is at the point

(3,0)

(0,3)

(0,0)

there is no vertex

The following equation x^2/16-y^2/25=1 is an example of what type of conic section?

parabola

circle

ellipse

hyperbola

Simplify the expression x^2-3x+2/x^2-4

Solve the equation 3^3x=81^3x-4

Answer 1

let me do a few of these to get you started.

a) the general form of writing an ellipse is:

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

(h,k) are the coordinates of the center of the ellipse, a is the length of the semi-major axis, and b is the length of the semi-minor

here, (h,k)=(0,0) so the center is at the origin

a=5 and b=3, so the semi-minor axis is 3

b) plot y=3x^2 and see the vertex is at the origin

c) the third equation is a hyperbola (looks like an ellipse but the terms have a minus rather than a plus)

hope this gets you started