John says the transformation rule (x, y) = (x + 4, y + 7)
can be used to describe the slide of the pre-image (4,5)
to the image (0, -2). what was his error?

he added wrong

Step-by-step explanation:

(x,y)=(x+4,y+7)

(4,5)

(4+4, 5+7)

(8, 12)

Sample response:

The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4,5) into the rule. You get (4,5) (4+4,5+7). Simplify to get (4,5) (8,12). This is the image. Instead the rule was applied to the image. This is the source of error

Step-by-step explanation:

Dont Copy Word For Word :)

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: