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
Multiply 8 total hours by 1/4 to find the number of piano hours.
= 8 * 1/4
= (8*1)/4
= 8/4
= 2 piano hours
ANSWER: He practiced piano for 2 hours.
Hope this helps! :)
Answer:
1.5 hours
I traveled farther
2 miles
Step-by-step explanation:
My speed
Speed of my friend
Time passed for both me and my friend will be equal if we start at the same time and the combined distance covered by both of us will be 24 miles. Let be the time taken to meet
So, we meet each other after 1.5 hours.
Distance traveled by me
Distance traveled by my friend
Answer:
D
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
, substituting values
=
→ D