Answer:
It is parallel
Step-by-step explanation:
See the first equation equals the last equation, I just realized that.
Answer:
3/4 is the slope
Step-by-step explanation:
I dont really know how to explain
68.109, 68.90, 68.09, 68.009
The cosine of an angle is the x-coordinate of the point where its terminal ray intersects the unit circle. So, we can draw a line at x=-1/2 and see where it intersects the unit circle. That will tell us possible values of θ/2.
We find that vertical line intersects the unit circle at points where the rays make an angle of ±120° with the positive x-axis. If you consider only positive angles, these angles are 120° = 2π/3 radians, or 240° = 4π/3 radians. Since these are values of θ/2, the corresponding values of θ are double these values.
a) The cosine values repeat every 2π, so the general form of the smallest angle will be
... θ = 2(2π/3 + 2kπ) = 4π/3 + 4kπ
b) Similarly, the values repeat for the larger angle every 2π, so the general form of that is
... θ = 2(4π/3 + 2kπ) = 8π/3 + 4kπ
c) Using these expressions with k=0, 1, 2, we get
... θ = {4π/3, 8π/3, 16π/3, 20π/3, 28π/3, 32π/3}
Answer:
The two expressions are equivalent, The value of both expressions when t = 5 is 32, and The value of both expressions when t = 3 is 24
Step-by-step explanation:
4 (3 + 3) = 4(3) + 12
4(6) = 12 + 12
24 = 24
4(5 + 3) = 4(5) + 12
4(8) = 20 + 12
32 = 32