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.
Answer:
R''(2, 1), S''(-1, 7), T''(2, 7)
Step-by-step explanation:
Rotation 90° CCW is accomplished by the transformation ...
(x, y) ⇒ (-y, x)
Translation 3 left and 8 up is accomplished by the transformation ...
(x, y) ⇒ (x -3, y +8)
Together, the two transformations give ...
(x, y) ⇒ (-y -3, x +8)
So your transformed points are ...
R(-7, -5) ⇒ R''(-(-5)-3, -7+8) = R''(2, 1)
S(-1, -2) ⇒ S''(-(-2)-3), -1+8) = S''(-1, 7)
T(-1, -5) ⇒ T''(-(-5)-3, -1+8) = T''(2, 7)
Median, upper quartile, and maximum are all incorrect
Each week, a cook purchased 12 LBS. of Butter:
During the Last year: (12 Months):
Cook Paid:
Little: $23.04
Much: $29.40, For Butter he or she purchased in a week:
Question: is: what is the Difference between, the Greatest price per pound, and the least price per pound of butter the cook paid within the last year?
EQUATION:
Least Paid / 12 =====> 23.04 /12
Most Paid / 12 ======> 29.40 / 12
Divide:
23.04 / 12 = 1.92 / LB
29.40 / 12 = 2.45 / LB
Now Subtract:
2.45 - 1.92
Answer ======> 0.53 is the difference, between the greatest price per round, and least price per round of butter the cook would have paid within the last year.
Hope that helps!!! : )