Solving the complex number, we get the value of the missing value that is ‘a’ = -6
We have been given the expression as
|a – i| = √37 (1)
Which is an expression of complex number. The general expression of complex number is given as
z = x + iy
where x is the real part and iy is the imaginary part
To find the modulus value, the formula is given by,
|z| = |x + iy|
|z| = √[(real part)2 + (imaginary part)2]
|z| = √(x2 + y2)
According to the question, |z| = √37 (2)
Equating equation (1) and (2), we get
√(a2 + 1) = √37
(a2 + 1) = 37
a2 = 37 – 1
a2 = 36
a = √36
a = ±6
Now value of a can be 6 or -6. We have been given that the modulus is in third quadrant.
Hence the value will be negative. Therefore, the missing value will be -6.
Learn more about complex number here : brainly.com/question/5564133
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Okay. That formula is set up like this: (n / 2) + 7 = 10. First, we subtract 7 from both sides. When that is done, you should get n/2 = 3. Next, you must multiply each side by 2 to isolate the “n”. When you do this correctly, you should get 6. If you need to check the answer, plug it in. When we check it, the number works. n = 6.
Answer:
32
Step-by-step explanation: 10+10+12=32
The answer is B ! Hope this helps !
