Given :
The foci of hyperbola are (8,0) and (-8,0) .
The difference of the focal radii = 6.
To Find :
The equation of the hyperbola.
Solution :
We know, distance between foci is given by :
2c = 8 - (-8)
c = 8
Also, difference between the foci or focal distance is given by :
2a = 6
a = 3
Now, we know for hyperbola :

General equation of hyperbola is :

Hence, this is the required solution.
What are the conclusions?
I would assume that even though both hot chocolate and coffee increased and decreased at the same time, they are not a correlation since one doesn’t cause the other to increase/decrease
5/2×2/3. If that is what you mean
You must know that the sum of interior angles is 180°. We also know that AC and BA are congruent which means angles B and C are also congruent. To find x we can assume 25=5x. Which makes x=5, and angle C=25°.
Then we can add all the angles to find y and A. 25+25+(3y+70)=180. Then solve for y and then solve for angle A.
2/3 is greater. 1/5 is less.