Answer:
n = -7
Step-by-step explanation:
-6n + 3 = 45
-3 -3
--------------------
-6n = 42
Divide both sides by -6
42/-6 = -7
n = -7
Cos(x) = 32/40 = 0.8 ⇒ x ≈ 37°
Answer:
Step-by-step explanation:

![=5\displaystyle\int_{0}^{\pi/6}\tan(2x)dx\\=-\frac{5}{2}\ln\cos(2x)|_{0}^{\pi/6}\\=-\frac{5}{2}[\ln\cos(\pi/3) - \ln\cos(0)]\\](https://tex.z-dn.net/?f=%3D5%5Cdisplaystyle%5Cint_%7B0%7D%5E%7B%5Cpi%2F6%7D%5Ctan%282x%29dx%5C%5C%3D-%5Cfrac%7B5%7D%7B2%7D%5Cln%5Ccos%282x%29%7C_%7B0%7D%5E%7B%5Cpi%2F6%7D%5C%5C%3D-%5Cfrac%7B5%7D%7B2%7D%5B%5Cln%5Ccos%28%5Cpi%2F3%29%20-%20%5Cln%5Ccos%280%29%5D%5C%5C)

Answer:
The slope is: m = -²/₅
The y-intercept is: b = -2
The equation of the line: y = -²/₅x - 2
Step-by-step explanation:
The equation of a line in slope intercept form: y = mx + b
The slope: 
(-5, 0) ⇒ x₁ = -5, y₁ = 0
(0, -2) ⇒ x₂ = 0, y₂ = -2
So:

Answer:
14/25
Step-by-step explanation:
All percentages can be represented by PERCENTAGE/100
So 56% is 56/100
Then simplify by dividing by 2
28/50 Then simplify again by 2
14/25