The height, h, in feet of a flag on one blade of a windmill as a function of time, t, in seconds can be modeled by the equation h=3sin(4pi/5(t-1/2))+12. what is the minimum height of the flag?

The minimum height of the flag is 9 feet.

Step-by-step explanation:

The function representing the height of the flag is given by,

It is required to find the minimum height of the flag.

As, we know,

The function have values between [-1,1] for all values of t.

So, have values between [-1,1] for all values of t.

Then, have values between [-3,3] for all values of t.

Thus, have values between [-3+12,3+12] for all values of t.

That is, have values between [9,15] for all values of t.

Hence, the minimum height of the flag is 9 feet.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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