a hyperbola centered at the origin has a vertex at (−6, 0) and a focus at (10, 0). which are the equations of the directrices?

a) x= +or- 3/5
b) y= +or- 3/5
c) x= +or- 18/5
d) y= +or- 18/5

If a hyperbola is centered at the origin and has vertex and focus on the x-axis, then its equation is

1. The vertex A of hyperbola has coordinates (-6,0), then the distance from the origin (center of the hyperbola) to the vertex is

2. The focus F has coordinates (10,0), then the distance from the origin to the focus is

3. Find b, using formula

4. The equation of the hyperbola is

5. The directrices' equations are

where

In your case,

and directrices' equations are

x=-3.6, x=3.6, correct choice is C

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: