When graphing f(x)=a sin(bx) you would determine the functions period using which of the following?

Mathematics

1 answer:

juin [17]2 years ago

6 0

<h3>Answer: A. The period is 2pi/b</h3>

Explanation:

The value of 'a' out front in y = a sin(bx) determines the amplitude.

The b term helps us compute the period, which is 2pi/b for sine, cosine, secant, and cosecant functions.

For example, y = 2sin(3x) has an amplitude of 2 and period of 2pi/3

For tangent and cotangent functions, the period would be pi/b.

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A square patio has a perimeter of (32x+8) feet. What is the length of the patio?

kotykmax [81]

<h3>Hello There!!</h3>

<u>Given</u>

Perimeter = (32x + 8)

<u>To </u><u>Find</u>

Length of the Patio

<u>We Know,</u>

$\text{Perimeter of Square = 4 × sides}$

$\text{ 32x + 8} = 4 \times \text{sides} \\ \\ \fbox{dividing each side with 4} \\ \\ \implies \text{( 32x} \div 4) + (8 \div 4) = \frac{4 \times \text{sides}} {4} \\ \\ \implies \text{8x + 2} = \frac{ \cancel4 \times \text{sides}} { \cancel4} \\ \\ \implies \text{sides} = \text{8x + 2}$