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

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

depending on others is critical to survival. my source is apex!

step-by-step explanation: