Since there are 6 possible results when rolling a die, each number has a 1 in 6 chance that it will be rolled.
1 and 2 are two possible results, so there is a 2 in 6 chance they will be rolled. As a fraction:
2/6
simplified:
1/3
16 squared = 256
14 squared = 196
256 + 196 = 452.
Answer:
54
Step-by-step explanation:
The two angles add to 90 degrees since they are complementary
the ratio is 3:2
Multiply by x
3x:2x
Add them together and set equal to 90
3x+2x=90
5x=90
Divide each side by 5
5x/5 = 90/5
x = 18
The first angle is 3*18 = 54
The second angle is 2*18 = 36
Answer:
a. x = -9 or x = -2
b. -5(x - 4)
c. x = -3 or x = 5
d. x = ±7
Step-by-step explanation:
a. First person;
y = x² + 11x + 18
y = x² + 9x + 2x + 18
y = x(x + 9) + 2(x + 9)
y = (x + 9)(x + 2)
y = x = -9 or x = -2
b. Second person;
y = -5x + 20
The common factor is 5.
y = -5(x - 4)
c. Third person;
y = x² - 2x - 15
y = x² - 5x + 3x - 15
y = x(x - 5) + 3(x - 5)
y = (x + 3)(x - 5)
y = x = -3 or x = 5
d. Fourth person;
y = x² - 49
Applying the difference of squares formula;
(a² - b²) = (a - b)(a + b)
y = x² - 49 = x² - 7² = (x - 7)(x + 7)
y = (x - 7)(x + 7)
y = x = ±7
