The center of a hyperbola is located at the origin. One focus is located at (0, 20), and its associated directrix is represented by the line y = -256/20. What is the equation of the hyperbola?

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

c is the answer

step-by-step explanation:

y -5 = (-1/4)(x + 8)

step-by-step explanation: