An equation of an ellipse is given. y2 = 1 − 3x2 (a) find the vertices, foci, and eccentricity of the ellipse. vertex (x, y) = (smaller y-value) vertex (x, y) = (larger y-value) focus (x, y) = (smaller y-value) focus (x, y) = (larger y-value) eccentricity (b) determine the length of the major axis. determine the length of the minor axis.

Step-by-step explanation:

Given

therefore it is a vertical ellipse

thus a=1

eccentricity of Ellipse

Focii are and

thus focii are &

(b) Length of major axis

length of minor axis

15

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)