Answer:
x=nπ3, n∈I
Step-by-step explanation:
sin x + sin 5x = sin 2x + sin 4x
⇒⇒ 2 sin 3x cos 2x = 2 sin 3x cos x
⇒⇒ 2 sin 3x(cos 2x - cos x) = 0
⇒ sin 3x=0 ⇒ 3x=nπ ⇒ x=nπ3⇒ sin 3x=0 ⇒ 3x=nπ ⇒ x=nπ3 , n∈I, n∈I
or cos 2x−cos x=0 ⇒ cos 2x=cos xcos 2x-cos x=0 ⇒ cos 2x=cos x
⇒ 2x=2nπ±x ⇒ x=2nπ, 2nπ3⇒ 2x=2nπ±x ⇒ x=2nπ, 2nπ3 , n∈I, n∈I
But solutions obtained by x=2nπx=2nπ , n∈I, n∈I or x=2nπ3x=2nπ3 , n∈I, n∈I are all involved in x=nπ3x=nπ3 , n∈I
Answer:
Option 2) y = 26
Step-by-step explanation:
We are given the following in the question:
The individual wants to have two hot dogs for each guest, and 6 extra hot logs in case some teammates bring friends.
Thus, the dependent variable is the number of hot dogs.

The independent variable is the number of teammates.

Thus, the linear relation between the dependent and the independent variable is given as:

We have to find the value of dependent variable when independent variable is 10
For x = 10

Thus, the correct answer is
Option 2) y = 26
Answer:the answer is D) 5(30 - 5) + 40; 165 stars
Step-by-step explanation:because you multiply the number of levels between Level 30 and Level 5 by 5 stars per level. Add the number of stars needed in Level 5.
5(30 - 5) + 40
5(25) + 40
165 stars
Answer:
AB=5.4 units
Step-by-step explanation:
We using the theorem of intersecting tangent and secant to solve this.
By this theorem:

Answer:

Step-by-step explanation:
1. The line contains the points (34,12) and (32,48). Then, you need to use the slope formula, which is:

2. When you substitute values into the formula, you obtain:

