What is the pre-image of vertex a' if the rule that created the image is ry-axis(x, y) → (–x, y)?

 Preimage of A' is A (x,y).

Step-by-step explanation:

Suppose we have given a point A' (-x,y) and let be the rotation transformation with center of rotation at origin(0,0) such that

Now in rotation transformation of any point about y axis i.e.( ) it produces the reflected image by changing the polarity of x abscissa only and not of y. Therefore, by applying rotation transformation about y axis on image A'(-x,y) gives the pre-image of (-x,y) = (x,y) [which is the reflection of A'].

For example :- let P (1,2) be any point then after rotation transformation about y axis it will become P'(-1,2).

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

54.864 meters

step-by-step explanation: