The midpoint of PQ is at (6,5) and point P is at (4,9).
What are the coordinates of point Q?

B. (8, 1)

Step-by-step explanation:

Given M(6, 5) as midpoint of PQ, and P(4, 9),

let

Rewrite the equation to find the coordinates of Q (x1, y1):

and

Solve for each:

Multiply both sides by 2

Subtract 4 from both sides

Multiply both sides by 2

Subtract 9 from both sides

Coordinates of Q is (8, 1)

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:

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