3x-24=x+10
3x-x=24+10
2x=34
x=34:2=17
Answer:
θ =
(60° )
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
cos²θ - sin²θ = 2 - 5cosθ
cos²θ - (1 - cos²θ) = 2 - 5cosθ
cos²θ - 1 + cos²θ = 2 - 5cosθ
2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )
2cos²θ + 5cosθ - 3 = 0 ← in standard form
(cosθ + 3)(2cosθ - 1) = 0 ← in factored form
Equate each factor to zero and solve for θ
cosθ + 3 = 0
cosθ = - 3 ← not possible as - 1 ≤ cosθ ≤ 1
2cosθ - 1 = 0
cosθ =
, so
θ =
(
) =
( or 60° )
Answer: y - 7 = 1/2 ( x - 2 )
I hope you got a good grade on your assignment!! ^w^
Answer:
It is a transmission from formal to informal knowledge and skill from either a different or the same generation.