9)
x = 90 - 42
x = 48
Answer
48
10)
Sum of interior in a triangle = 180
Plug in
x + 2x + 2x + 15 = 180
5x + 15 = 180
5x = 165
x = 33
Answer
33
Answer:
Three rules are used
1) Product of powers
2) Power of a power
3) Negative exponents
Step-by-step explanation:
The given expression is [(7)⁵(7)³]⁻⁴
<u>To find the value of [(7)⁵(7)³]⁻⁴
</u>
[(7)⁵(7)³]⁻⁴ = [(7)⁵⁺³]⁻⁴ = [(7)⁸]⁻⁴(using product of powers rule)
[(7)⁵⁺³]⁻⁴ = [(7)⁸ˣ⁻⁴] = 7⁻³² [using powers of power rule)
7⁻³² = 1/7³² (using negative exponent rule)
Using three rules we can solve [(7)⁵(7)³]⁻⁴
Therefore the correct answers are
1) Product of powers
2) Power of a power
3) Negative exponents
Answer:
a₆ = 12
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = 5 and a₁₀ = 19 , then
a₁ + d = 5 → (1)
a₁ + 9d = 19 → (2)
Subtract (1) from (2) term by term to eliminate a₁
8d = 14 ( divide both sides by 8 )
d = 1.75
Substitute d = 1.75 into (1)
a₁ + 1.75 = 5 ( subtract 1.75 from both sides )
a₁ = 3.25
Then
a₆ = 3.25 + 5(1.75) = 3.25 + 8.75 = 12
5y=2(-6)-4
5y=-12-4
5y=-16
y=-16/5
hope this helps!
Answer:
Step-by-step explanation: