Answer:
x=4
Other stuff:
Don't if it is incorrect or if it was the answer. the image was blurry.
Answer:
x=44/3
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
substitute what we know
-3 = (-29--3)/(x-6)
simplify
-3 =(-29+3)/(x-6)
multiply each side by (x-6)
-3(x-6) = (-29+3)/(x-6) * (x-6)
the (x-6)'s on the right cancel
-3(x-6) = (-29+3)
distribute
-3x*-3*-6 = -29+3
-3x+18 = -26
subtract 18 from each side
-3x = -44
divide by -3
x = -44/-3
x=44/3
First of all, the modular inverse of n modulo k can only exist if GCD(n, k) = 1.
We have
130 = 2 • 5 • 13
231 = 3 • 7 • 11
so n must be free of 2, 3, 5, 7, 11, and 13, which are the first six primes. It follows that n = 17 must the least integer that satisfies the conditions.
To verify the claim, we try to solve the system of congruences

Use the Euclidean algorithm to express 1 as a linear combination of 130 and 17:
130 = 7 • 17 + 11
17 = 1 • 11 + 6
11 = 1 • 6 + 5
6 = 1 • 5 + 1
⇒ 1 = 23 • 17 - 3 • 130
Then
23 • 17 - 3 • 130 ≡ 23 • 17 ≡ 1 (mod 130)
so that x = 23.
Repeat for 231 and 17:
231 = 13 • 17 + 10
17 = 1 • 10 + 7
10 = 1 • 7 + 3
7 = 2 • 3 + 1
⇒ 1 = 68 • 17 - 5 • 231
Then
68 • 17 - 5 • 231 ≡ = 68 • 17 ≡ 1 (mod 231)
so that y = 68.
Answer:
6 oranges
Step-by-step explanation:
4.75 / 5 = 0.95
5.70 / 0.95 = 6
Refer to the diagram shown below.
When the two forces F₁ and F₂ are added vectorially, the resultant force is R.
The angle x = 180° - 50° = 130°.
From the Law of Cosines, obtain
R² = F₁² + F₂² - 2F₁F₂ cos(130°)
Note that 2 cos(130°) = -1.2856.
Answer:
R = √(F₁²+ F₂² + 1.2856 F₁F₂ )