The graph of this sinasoid wave is B) f(x) = 3cos(x) + 3
We can tell this for two reasons. Firstly, the multiplier in the beginning is always equal to half of the height of the graph. Since the graph goes as high at 6 and as low as 0, we know the overall height is 6. Half of that is 3. This means that we have a 3 for the multiplier.
Next, we can decide between sin and cos by determining that it starts up and ends down. Sin starts moving up at the beginning and cos moves up at the beginning. Therefore, it must be the cos.
Answer:
(0, 7.5)
Step-by-step explanation:
Compare the equation to the standard-form equation of a circle:
(x -h)^2 +(y -k)^2 = r^2 . . . . . . . center at (h, k); radius r
You will notice that ...
h = 0
k = 7.5
The center is (h, k) = (0, 7.5).
P = a + b + c
p = 2400
a = longest = 2c - 200
b = middle = a - 200 = 2c - 200 - 200 = 2c - 400
2400 = (2c - 200) + (2c - 400) + c
2400 = 5c - 600
2400 + 600 = 5c
3000 = 5c
3000/5 = c
600 = c <== shortest side
a = 2c - 200.....= 2(600) - 200 = 1200 - 200 = 1000<== longest side
b = 2c - 400...= 2(600) - 400 = 1200 - 400 = 800 <== middle side
Answer:
53
Step-by-step explanation:
Sum of interior angles of a pentagon = 540°
Therefore,
2x° +2x° + 3x° + 3x° + 10 = 540°
10x° + 10° = 540°
10x° = 540° - 10°
10x° = 530°
10x = 530
x = 530/10
x = 53
Answer:
1f, 2b, 3a, 4c, 5d, 6e
see image
Step-by-step explanation:
Solve the equations by getting x all by itself on one side. Then, square root to get rid of the exponent.
Any problem where you square root a negative will give you an i in the answer. This is because sqrt(-1) is i. Because i^2 = -1
Also, when you are simplifying square roots for your final answer, look for a perfect square number inside of the radical. Like Sqrt45 can be broken down to
Sqrt9•sqrt5
And because 9 is a perfect square, sqrt9 simplifies to just 3. See image.
