Answer:
y = 4 sin(½ x) − 3
Step-by-step explanation:
The function is either sine or cosine:
y = A sin(2π/T x) + C
y = A cos(2π/T x) + C
where A is the amplitude, T is the period, and C is the midline.
The midline is the average of the min and max:
C = (1 + -7) / 2
C = -3
The amplitude is half the difference between the min and max:
A = (1 − -7) / 2
A = 4
The maximum is at x = π, and the minimum is at x = 3π. The difference, 2π, is half the period. So T = 4π.
Plugging in, the options are:
y = 4 sin(½ x) − 3
y = 4 cos(½ x) − 3
Since the maximum is at x = π, this must be a sine wave.
y = 4 sin(½ x) − 3
Answer:
Step-by-step explanation:
try using each answer choise to find your answer it shoud equal 180 because all of the triangles equal that.
Answer:
x ≤ 3
Step-by-step explanation:
Given
2(4 + 2x) ≥ 5x + 5 ← distribute parenthesis on left side
8 + 4x ≥ 5x + 5 ( subtract 4x from both sides )
8 ≥ x + 5 ( subtract 5 from both sides )
3 ≥ x , hence
x ≤ 3
Answer:
Step-by-step explanation:
You know an angle, the side opposite the angle, and the side between them.
Use the Law of Sines.
j3 = arcsin(2.7sin(j1)/4.2) ≅ 27.0°
j2 = 180°-j1-j3 ≅ 108.0°
x = distance from j1 to j2
= 4.2sin(j2)/sin(j1)
≅ 5.7 miles
Given:
Rectangular coordinate = (8, 6)
To convert:
Rectangular coordinate to polar coordinate with r > 0 and 0 ≤ θ < 2π.
Solution:
Let us find r:
r = 10
Now, find θ:
Cancel the common factor 2.
θ = 36.87°
The polar coordinates are (r, θ) = (10, 36.87°).
