Point P is on segment AB such that AP:PB is 4:5. If A has coordinates (4,2), and B has coordinates (22,2), determine and state the coordinates of P.

The coordinates of P are (12, 2).

Solution:

Given data:

A = (4, 2) and B = (22, 2)

P(x, y) is the point on the line segment AB.

AP : PB = 4 : 5.

Section formula:

Here, and m =4, n =5.

P(x, y) = (12, 2)

Hence the coordinates of P are (12, 2).

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:

answer: 40.95

step-by-step explanation: