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8_murik_8 [283]
4 years ago
12

Express the complex number in trigonometric form.

Mathematics
1 answer:
Maru [420]4 years ago
7 0
-5i can be written as 0 + (-5)i
It is in the form a+bi where a = 0 and b =-5
So the point (a,b) is (0,-5)

The distance from the origin to this point is 5 units, therefore r = 5. This is the magnitude. 

The angle is 270 degrees as shown in the attached image. You start on the positive x axis and rotate until you reach the point (0,-5)

This is why the answer is choice A) 5(cos(270) + i*sin(270))

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(3+i)^2 = c+di, find the value of d.
inna [77]

Answer:

d. \displaystyle 6

Step-by-step explanation:

\displaystyle [3 + i]^2 = [3 + i][3 + i] = 9 + 6i + i^2 → 9 + 6i - 1 → 6i + 8

Therefore, the d-value is 6.

<u>Extended</u><u> </u><u>Information</u><u> </u><u>on</u><u> </u><u>the</u><u> </u><u>Complex</u><u> </u><u>Number</u><u> </u><u>System</u>

\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\:[every\:multiple\:of\:4]

I am joyous to assist you anytime.

3 0
3 years ago
What's the lcm of 24 and 30​
taurus [48]

Answer:

120

Step-by-step explanation:

The LCM of 24 and 30 is 120. To find the least common multiple (LCM) of 24 and 30, we need to find the multiples of 24 and 30 (multiples of 24 = 24, 48, 72, 96 . . . 120; multiples of 30 = 30, 60, 90, 120) and choose the smallest multiple that is exactly divisible by 24 and 30, i.e., 120.

5 0
3 years ago
one dozen doughnuts cost $6.00. if the unit price is the same, how many doughnuts can be bought with $16?​
kodGreya [7K]

32 doughnuts can be bought with $16.

Step-by-step explanation:

One dozen doughnuts = $6.00

One dozen = 12

$6.00 = 12 doughnuts

$1.00 = \frac{12}{6.00} = 2

Therefore, 2 doughnuts can be bought for $1.

For $16 dollars;

No. of doughnuts = Amount * Doughnuts per dollar

No.\ of\ doughnuts=16*2\\No.\ of\ doughnuts=32

32 doughnuts can be bought with $16.

Keywords: division, multiplication

Learn more about multiplication at:

  • brainly.com/question/1464739
  • brainly.com/question/1465430

#LearnwithBrainly

4 0
3 years ago
F(x) = 3 and g(x) = x – 2<br><br> 3 = x – 2<br><br> 5 = x
stiks02 [169]

Answer:

3=1×5-2

Step-by-step explanation:

you minus 5-2 is 3 and one threes three

4 0
2 years ago
Please help me ASAP!!!​
Anon25 [30]

Answer:

where the question?......

5 0
3 years ago
Read 2 more answers
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