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3 years ago

I need help with 2 math problems. Complex Numbers

1 answer:

4 0

You add, subtract and multiply complex numbers exactly as you do with variables: you sum like terms, recalling that $i^2=-1$

So, you have

$(8-3i)-(6+i) = 8-3i-6-i = 8-6-3i-i = 2-4i$

And

$(5+2i)(4-3i) = 20-15i+8i-6i^2 = 20-7i+6 = 26-7i$

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It costs $3 per hour to park in a parking lot, with a maximum cost of $12.

ICE Princess25 [194]

Answer:

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3 years ago

Find the distance between the points (3,‐4) and (3,‐2

balu736 [363]

2 if we’re talking coordinates

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3 years ago

Is Mn+2 and Mn2+ same?

Sergio [31]

Answer:

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3 years ago

A cylindrical piece of iron pipe is shown below. The wall of the pipe is 0.75 inch thick, and the pipe is open at both ends:

Vadim26 [7]

Answer:

Correct option: fourth one -> 254 cubic inches.

Step-by-step explanation:

The volume of a cylinder is given by the equation:

$Volume = \pi * radius^2 * height$

To calculate the internal volume of the pipe, we should use its internal radius.

The external radius of the pipe is half of the diameter, and the internal radius is the external radius minus the thickness of the pipe, so we have:

$internal\ radius = external\radius - thickness\\internal\ radius = \frac{6}{2} - 0.75\\internal\ radius = 2.25\ in$

Then, using the internal radius in the volume equation, we have that:

$Volume = \pi * 2.25^2 * 16$

$Volume = 254.47\ in3$

So the correct option is the fourth one: Volume is approximately 254 cubic inches.

5 0

3 years ago

Points P, Q, and R are shown on the number line. What is the distance between point P and point Q? P(-76) Q(-24) R(0) A) 52 unit

Amiraneli [1.4K]

Answer:

A) 52 units

Step-by-step explanation:

The length of a line joining 2 points on a number line is given by the difference between the co-ordinates of the 2 points.

Therefore PQ= $\left ( Q \right )-\left ( P \right )= \left ( -24 \right )-\left ( -76 \right )= 52$

Hence the length of the line is 52 units

4 0

3 years ago