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

answer: the 4 kilogram bag

step-by-step explanation: this is because if you divide the number of kilograms into the total it will tell you how much each individual kilogram would be worth. 2 kilos is 7 and change 3 would be around 6 ish and the 4 kilo would be 4.6 and change and the 5 kilos would be like 4.88

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.