Rectangle ABCD is translated according to the rule (x, y) → (x + 6, y) to rectangle A′ B′ C′ D′ and then rotated 90° counterclockwise about the origin. What are the coordinates of rectangle A″B″C″D″? Question 12 options:

A)

A″ (1, 1), B″ (1, 5), C″ (4, 5), D″ (4, 1)

B)

A″ (5, 1), B″ (1, 1), C″ (1, 4), D″ (5, 4)

C)

A″ (–5, 1), B″ (1, –1), C″ (–1, 4), D″ (–5, 4)

D)

A″ (1, –1), B″ (5, 1), C″ (5, –4), D″ (1, –4)

Which situation can be modeled by the inequality 5 + 10w ≥ 45? a. you start with $5 and save $10 a week until you have at least $45. b.you start with 5 baseball cards and purchase 10 cards every week until you have at most 45 cards. c.you start with 5 water bottles and purchases cases of 10 water bottles each until you have a total of 45 water bottles. d.you spend $5 plus $10 per week until you have less than $45.

One side of a rectangle is 7 centimeters shorter than six times the other side. find the length of the longer side if we also know that the perimeter of the rectangle is 266 centimeters.

What is the explicit formula for this sequence -7, -4, -1, 2, 5