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gregori [183]
3 years ago
11

Examine the fraction 3+2i4−2i. Which expression is the first step to simplify the fraction? 3+2i4−2i⋅3−2i3−2i

Mathematics
1 answer:
umka2103 [35]3 years ago
4 0

Answer:

The correct answer is the last option.

Step-by-step explanation:

When you have a fraction with complex numbers, the first step to simplify is to multiply up and down the conjugate of the denominator, this will eliminate the complex part of the denominator, and in this way you can separate the expression in its real and complex part.

For the expression:

\frac{3 + 2i}{4-2i
}

The denominator conjugate is 4 + 2i

When multiplied, the denominator is:

4 ^ 2 -4i ^ 2 = 16 -4 (-1) = 20

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A cylinder with 3 radius and and height is 2 inches what is the volume?
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Answer:

\huge\boxed{\sf V = 56.5 \ in.^3}

Step-by-step explanation:

Radius = r = 3 in.

Height = h = 2 in.

<u>Volume:</u>

\sf Volume \ of \ the \ cylinder = \pi r^2 h\\\\V = (3.14)(3)^2(2)\\\\V =(3.14)(9)(2)\\\\V = (3.14)(18)\\\\V = 56.5 \ in.^3\\\\\rule[225]{225}{2}

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What is the point-slope form of a line with slope -4 that contains the point (-2, 3?
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What is the equation of the midline of the sinusoidal function?<br> [Enter the answer in the box]
Contact [7]

Answer:

y=0

Step-by-step explanation:

We are asked to find the equation of mid-line of the given sinusoidal function.

Since the mid-line of a sinusoidal function is the line that runs between the maximum and minimum y-values of the function. We can consider it the middle y-value.

\text{Mid-line}=\frac{\text{Maximum value+Minimum value}}{2}

We can see from our given graph that the maximum value of our function is 5 and minimum value of our function is -5.

Upon substituting these values in mid-line formula we will get,

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