A translation moves point V(-2, 3) to V-2,7). Which are true statements about the translation?

1. The point moves two units left and four units up.

2.The transformation rule is (x, y) = (x+0.7+4).

3.The transformation is a vertical translation.

4.The image is four units to the left of the pre-image.

5.The translation can be described as (x, y) = (x-2, Y+7).

What is the smallest integer n such that n\sqrt{2} is greater than 20

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

What is the area of a triangle with vertices at (-3 3) (-3,2) and (1,2)?