Answer:
119°
Step-by-step explanation:
It’s 119. You don’t need to solve for h.
Hello!
You solve this algebraically
6(3 - 2x) = 54
distribute the 6
18 - 12x = 54
Subtract 18 from both sides
-12x = 36
Divide both sides by -12
x = -3
The answer is -3
Hope this helps!
Answer:
a) possible progressions are 5
b) the smallest and largest possible values of the first term are 16 and 82
Step-by-step explanation:
<u>Sum of terms:</u>
- Sₙ = n/2(a₁ + aₙ) = n/2(2a₁ + (n-1)d)
- S₂₀ = 20/2(2a₁ + 19d) = 10(2a₁ + 19d)
- 2020 = 10(2a₁ + 19d)
- 202 = 2a₁ + 19d
<u>In order a₁ to be an integer, d must be even number, so d = 2k</u>
- 202 = 2a₁ + 38k
- 101 = a₁ + 19k
<u>Possible values of k= 1,2,3,4,5</u>
- k = 1 ⇒ a₁ = 101 - 19 = 82
- k = 2 ⇒ a₁ = 101 - 38 = 63
- k = 3 ⇒ a₁ = 101 - 57 = 44
- k = 4 ⇒ a₁ = 101 - 76 = 25
- k = 5 ⇒ a₁ = 101 - 95 = 16
<u>As per above, </u>
- a) possible progressions are 5
- b) the smallest and largest possible values of the first term are 16 and 82
Answer:
(1/7, 1)
Step-by-step explanation:
By "answer," you probably meant "solution." What is the "solution of the system of linear equations
- 5y = - 5
+ 7x +6y=7
The first eqation can be solved for y: y = 1. Substitute 1 for y in the secon equation. Then 7x + 6(1) = 7, or 7x = 1, or x = 1/7.
The solution to this system is (1/7, 1)