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Rom4ik [11]
3 years ago
10

Given z=4+3i evaluate z​

Mathematics
1 answer:
DerKrebs [107]3 years ago
5 0

Answer:

5

Step-by-step explanation:

Assuming we want to evaluate |z|, given that, z=4+3i.

Then, by definition of modulus,

|x + yi|  =  \sqrt{ {x}^{2} +  {y}^{2}  }

|4+ 3i|  =  \sqrt{ {4}^{2} +  {3}^{2}  }

|4+ 3i|  =  \sqrt{ 16+  9 }  \\ |4+ 3i|  =  \sqrt{25 }  \\ |4+ 3i|  = 5

Therefore the modulus be of the given complex number is 5 units

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Find the gradient of the line segement between the points (0,-6) and (2,-16)
yulyashka [42]

answer = 5

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:

A line is increasing, and goes upwards from left to right when m > 0

A line is decreasing, and goes downwards from left to right when m < 0

A line has a constant slope, and is horizontal when m = 0

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7 0
3 years ago
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3 years ago
One over four (4x + 15) = 24
kiruha [24]

Answer:

x = 20 1/4

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
ou have space in your garden for 60 small flowering bulbs. Crocus bulbs cost $0.45 each and daffodil bulbs cost $0.65 each. Your
bogdanovich [222]

9514 1404 393

Answer:

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Step-by-step explanation:

Let d represent the number of daffodil bulbs you buy. Then 60-d is the number of crocus bulbs. The total cost will be ...

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  0.20d = 8 . . . . . . . . . subtract 27

  d = 40 . . . . . . . . . . multiply by 5

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You can buy 20 crocus bulbs and 40 daffodil bulbs for $35.

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