Image is attached 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 1 options:

A)

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

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″ (1, 5), C″ (4, 5), D″ (4, 1)

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Aprojectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 704t. after how many seconds does the projectile take to reach its maximum height?

Pranza plotted point a in the coordinate plane below.