14.

16.
x² +17x + 72
(x + 9)(x + 8)
x + 9 = 0 ∧ x + 8 = 0
x = -9 ∧ x = -8
17.
4v² - 16v + 7
Break the expression into groups
(4v² - 2v) + (-14v + 7)
Factor out 2v from 4v² - 2v and factor out -7 from -14v + 7
2v (2v - 1) - 7 (2v - 1)
(2v - 1) (2v - 7)
2v - 1 = 0 ∧ 2v - 7 = 0
2v = 1 ∧ 2v = 7

∧

18.
n² - 16n + 64
(n - 8) (n - 8)
n = 8 ∧ n = 8
19.
6t² - 54
Factor out the common term 6
6 (t² - 9)
Factor (t² - 9)
6 (t² - 9)
6 (t + 3) (t - 3)
t = -3 * 6 ∨ t = 3 * 6
t = -18 ∨ t = 18
20.
y² - 121
(y - 11) (y + 11)
y = 11 ∧ y = -11
Using the pythagorean theorem:
2 squared + 3 squared = slide length squared
13= slide length squared
3.605 or about 3.6
Hope this helped!
Hello!
As we are looking for the opposite side and hypotenuse, we will use the sine.
sin30=1/2
This gives us the equation below.
1/2= 5/x
1/2x=5
x=10
Therefore, x=10.
I hope this helps!
Sam sold half as many as Odel.
That means Odel sold twice as many as Sam.
Let x = number of pizzas sold by Sam.
Then Odel sold 2x.
Altogether they sold 126
x + 2x = 126
3x = 126
x = 42
Since x is the number of pizzas sold by Sam, that is our answer.
Answer: Sam sold 42 pizzas.
2/4 is smaller
This is because 2/4 = 6/12
6/12 is smaller than 7/12
So therefore 2/4 is smaller