Needed asap

an object oscillates 4 feet from its minimum height to its maximum height. the object is back at the maximum height every 3 seconds. which cosine function may be used to model the height of the object?

a

y=4cos2π3t

b

y=2cos3πt

c

y=2cos2π3t

d

y=2cosπ3t

  C  y=2cos(2π/3t)

Step-by-step explanation:

The amplitude of the function will be half the difference between the minimum and maximum: 4/2 = 2.

The multiplier of t in the function will be 2π/period = 2π/3.

Comment on the answer choices

The answer choices need to be "interpreted" in order to choose one. As written, none is correct.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

correct answer is c. just did it

step-by-step explanation: