Answer:
2.7m
Step-by-step explanation:
1.0m
0.5m
+1.2m
2.7m - answer
Answer:
look at the pictures
Step-by-step explanation:
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:
Since, the variables x and y are inversely proportional.
![\therefore \: y \: \: \alpha \: \: \frac{1}{x} \\ \implies \: y = \frac{k}{x} \\ (k = constant) \\ \implies \: xy = k ...(1)\\ plug \: y = 2, \: \: x = 3 \: in \: equation \: (1) \\ we \: find \\ 2 \times 3 = k \\ k = 6 \\ plug \:k = 6 \: in \: equation \: (1) \\ xy = 6 \\ (this \: is \: the \: equation \: of \: variation) \\ when \: x = 9 \: \: y =? \\ \\ 9y = 6 \\ y = \frac{6}{9} \\ \huge \red{ \boxed{ y = \frac{2}{3} }}](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5C%3A%20y%20%20%5C%3A%20%20%5C%3A%20%5Calpha%20%5C%3A%20%20%5C%3A%20%20%5Cfrac%7B1%7D%7Bx%7D%20%20%5C%5C%20%20%5Cimplies%20%5C%3A%20y%20%3D%20%20%5Cfrac%7Bk%7D%7Bx%7D%20%5C%5C%20%28k%20%3D%20constant%29%20%20%5C%5C%20%20%5Cimplies%20%5C%3A%20xy%20%3D%20k%20...%281%29%5C%5C%20plug%20%5C%3A%20y%20%3D%202%2C%20%5C%3A%20%20%5C%3A%20x%20%3D%203%20%20%20%5C%3A%20in%20%20%5C%3A%20equation%20%5C%3A%20%281%29%20%5C%5C%20we%20%5C%3A%20find%20%5C%5C%202%20%5Ctimes%203%20%3D%20k%20%5C%5C%20k%20%3D%206%20%5C%5C%20plug%20%5C%3Ak%20%3D%206%20%20%20%5C%3A%20in%20%20%5C%3A%20equation%20%5C%3A%20%281%29%20%20%5C%5C%20xy%20%3D%206%20%5C%5C%20%28this%20%5C%3A%20is%20%5C%3A%20the%20%5C%3A%20equation%20%5C%3A%20of%20%5C%3A%20variation%29%20%5C%5C%20when%20%5C%3A%20x%20%3D%209%20%5C%3A%20%20%5C%3A%20y%20%3D%3F%20%20%5C%5C%20%20%5C%5C%209y%20%3D%206%20%5C%5C%20%20y%20%3D%20%20%5Cfrac%7B6%7D%7B9%7D%20%20%5C%5C%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20y%20%3D%20%20%5Cfrac%7B2%7D%7B3%7D%20%7D%7D)