Answer:
- Commutative Property of Addition.-
- 2 + 3 = 3 + 2
- Commutative Property of Multiplication.- ex. 5 × 7 = 7 × 5
- Associative Property of Addition.- ex.(2 + 3) + 6 = 2 + (3 + 6)
- Associative Property of Multiplication.- ex. (7 × 3) × 10 = 7 × (3 × 10)
- Distributive Properties of Addition Over Multiplication- ex. 2 × (2 + 8) = 2 × 2 + 2 × 8
- (2 + 8) × 10 = 2 × 10 + 8 × 10
- The reciprocal of a non zero real number a is 1/a.- ex. reciprocal of 5 is 1/5 and 5 × (1/5) = 1
Step-by-step explanation:
<h3>
Answer:</h3>
a. -(3√13)/13
<h3>
Step-by-step explanation:</h3>
The cosine can be found from the tangent by way of the secant.
tan(θ)² +1 = sec(θ)² = 1/cos(θ)²
Then ...
cos(θ) = ±1/√(tan(θ)² +1)
The <em>cosine is negative in the second quadrant</em>, so we will choose that sign.
cos(θ) = -1/√((-2/3)² +1) = -1/√(4/9 +1) = -1/√(13/9)
cos(θ) = -3/√13 = -(3√13)/13 . . . . . matches your selection A
Answer:
25
Step-by-step explanation:
144/60 = 2.4
60/2.4 = x
x = 25
G = x
Felicia is Gabriella's age + 6
F = x + 6
Their mother is twice Felicia's age
M = 2(x + 6) or 2x + 12
Tanya is the age of their mother plus Gabriella's age
A = 2x + 12 + x = 3x + 12
3x + 12
