Answer:
A=(1, −4.5)
Step-by-step explanation:
Answer:
c
Step-by-step explanatio answer c
Answer:
x=4
ME=9
AM=18
AE=27
Because m in the midpoint ME is double AM
2(4x-7)=5x-2 4(4)-7 5(4)-2 18+9
8x-14=5x-2 16-7 20-2 =27
<u>-5x -5x</u> =9 =18
3x-14=-2
<u> +14 +14</u>
<u>3x</u>=<u>12</u>
3 3
x=4
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: undefined
Step-by-step explanation:
= undefined