What set of transformations are applied to parallelogram ABCD to create A'B'C"D"? B
С
A
D
-4
-2 -1
2
D'
4
A
C
O Reflected over the x-axis and reflected over the y-adis
O Reflected over the y-axis and rotated 180°
O Reflected over the x-axis and rotated 90° counterclockwise
O Reflected over the y-axis and rotated 90° counterclockwise

Astandard deck of cards contains 52 cards. one card is selected from the deck. (a) compute the probability of randomly selecting a seven or king. (b) compute the probability of randomly selecting a seven or king or jack. (c) compute the probability of randomly selecting a queen or spade.

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.

Find the volume of the wedge cut from the first octant by the cylinder z=12-3y^2 and the plane x+y=2.