<span>The domain of the function can be obtained by pluging the values of the range into f(x), i.e domain = {k^2 + 2k + 1 = 25, k^2 + 2k + 1 = 64} = {k^2 + 2k - 24 = 0, k^2 + 2k - 63 = 0}. Solving the two quadratic equations, we have that the range is {-9, -6, 4, 7}.I hope that my answer is helpful! Let me know if you need something more :)</span>
Alright, let get started.
We have given the angle Ф as 7π/6.
And we are asked to find its reference angle (in dgrees)
So, we will first change 7π/6 from radian to degrees by multiplying 180/π
Ф = 7π/6 * 180/π
Ф = 7 * 180/6 = 210 degrees
Now, reference angle is the angle between X axis and the terminal side of given angle.
Please refer to the diagram attached.
The terminal side of angle 210 is lying in 3rd quadrant.
The angle between X axis and its terminal side is 210 - 180 = 30 degrees
Hence refernce agle of 210 degree or 7π/6 is 30 degrees. : Answer
We are also asked to find sin Ф
We could find it by using unit circle. sin 210 = - 1/2 Answer
Hope it will help :)
Answer:
8
Step-by-step explanation:
It appears your table includes points (4, 9) and (7, 33). The average rate of change on the interval is the slope of the line between these two points:
m = (y2 -y1)/(x2 -x1)
m = (33 -9)/(7 -4) = 24/3 = 8
The average rate of change is 8.
Answer:
A vector's magnitude represents its length, so your answer is C, the length of a vector.
Step-by-step explanation: