Which of the following is a requirement for a trinomial to be factored as a perfect square?

a.

the constant term must be a perfect square.

b.

the constant term must be a perfect cube.

c.

the constant term must be twice the product of the square roots of the other two terms.

d.

the constant term must be half the product of the square roots of the other two terms.

Solve the given system of equations. 2y= -x+9 , 3x-6= -15

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

Factor and solve to find roots x squared -x - 90 =0