Let All angles be x times multiplied to ratio , so we"ll get :-
2x + 3x + 4x + 5x + 6x = 540°
20x = 540
x = 540/20
⇒ x = 27 ,
so angles are :-
⇒ 2x = 2×27 = 54°
⇒ 3x = 3×27 = 81°
⇒ 4x = 4×27 = 108°
⇒ 5x = 5×27 = 135°
⇒ 6x = 6×27 = 162°
Hence 162° is the greatest angle
So Noel puts 754 cups of water into his/her recipe
4y(3y + 9)
12y + 36
36 ÷ 12=x=3
Answer:
x = -3 and x = -3/2
Step-by-step explanation:
After writing down the polynomial, split it; put a line between 3x^2 and -18x. Look and 2x^3 + 3x^2 and -18x - 27 separately and factor them both:
p(x) = 2x^3 + 3x^2 <u>- 18x -27</u>
p(x) = x^2(2x+3) <u>-9(2x+3)</u>
Now notice how x^2 and -9 have the same factor (2x+3). That means x^2 and -9 can go together:
p(x) = (x^2 - 9)(2x+3)
Factor it once more because there's a difference of squares:
p(x) = (x+3)(x-3)(2x+3)
Now just plug in whatever makes the each bracket equal 0:
x = -3, x = 3, and x = -3/2
Those are your zeros.
