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gulaghasi [49]
3 years ago
11

If z=3−5i, find |z|.

Mathematics
1 answer:
geniusboy [140]3 years ago
5 0

Answer:

Step-by-step explanation:

The absolute value of z is the distance between the point graphed from the complex number and the origin on a complex plane.  In a complex plane, the x axis is replaced by R, real numbers, and the y axis is replaced by i, the complex part of the complex number.  Our real number is positive 3 and the complex number is -5, so we go to the right 3 and then down 5 and make a point.  Connect that point to the origin and then connect the point to the x axis at 3 to construct a right triangle that has a base of 3 and a length of -5.  To find the distance of the point to the origin is to find the length of the hypotenuse of that right triangle using Pythagorean's Theorem.  Therefore:

|z|=\sqrt{(3)^2+(-5)^2} and

|z|=\sqrt{9+25} and

|z|=\sqrt{34}

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Tasya [4]

Answer:

Monday: 5x + 14

Tuesday: Average is about 55.77 and Median is 56

Step-by-step explanation:

To combine like terms means to add or subtract the terms with similar variables. So I did as such to find the answer.

24 - 10 = 14 and 7x - 2x = 5x

The average is found by dividing the sum of all values in the list by the number of list options. The median is the value found in the middle of the list.

4 0
3 years ago
12. Will you miks the paint? Answers
wolverine [178]

The required proportion of the blue paint is 18 liters.

Given that,
The ratio of yellow and blue colors is 2:3
The proportion of the yellow color is 12 liters.
The proportion of blue color is to be determined.

<h3>What is the Ratio?</h3>

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Let the proportion of the blue color is x,
Now, the ratio can be given as
12 / x = 2 / 3
x = 12 * 3 / 2
x = 18

Thus, the required proportion of the blue paint is 18 liters.

Learn more about Ratio here:

brainly.com/question/13419413

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The question given is incomplete, a proper question could be
A paint store mixes yellow and blue paint in a ratio of 2:3 to make green paint. If they used 12 liters of yellow paint, how many liters of blue paint were used?

7 0
2 years ago
Question 4(Multiple Choice Worth 5 points) (07.04 LC)What is the solution to the equation fraction 1 over 6x = 2? x = fraction 1
Elza [17]
X = fraction 1 over 12
x = fraction 1 over 3
x = 3
x = 12

The given choices are the successive steps to solve the question :fraction 1 over 6x = 2
of which the last choice is the solution.
6 0
3 years ago
Solve the simultaneous equations by substitution<br> x-3y=-7<br> x=5-y
WINSTONCH [101]

Answer:

x = 2, y = 3

Step-by-step explanation:

x - 3y = - 7 → (1)

x = 5 - y → (2)

Substitute x = 5 - y into (1)

5 - y - 3y = - 7

5 - 4y = - 7 ( subtract 5 from both sides )

- 4y = - 12 ( divide both sides by - 4 )

y = 3

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x = 5 - 3 = 2

solution is (2, 3 )

5 0
2 years ago
Help plz:)))I’ll mark u Brainliest
babunello [35]

Answer:

h = 9

Step-by-step explanation:

cylinder A = \pi3^{2}*4 = 113.0973355 m^{3}

Cylinder B  = 113.0973355 m^{3}

113.0973355 m^{3} = \pi2^{2}*h

113.0973355 m^{3} / 4\pi = h

8.999999999998 = h

I think b/c of the rounding error of rounding off pi,  that h= 9

5 0
2 years ago
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