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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55% is de answer
Your welcome
3/8 = 0,375
5/12 = 0,416
5/12 is bigger
Answer:
The answer to your question is: Japan
Step-by-step explanation:
Mobile cost in Spain = € 352.5
Mobile cost in Japan = ¥39856
Exchange rate = £1 = €1.41
£1 = ¥188
Cost of mobile in pounds
£ 1 ------------------ € 1.41
x ----------------- €352.5
x = (352.5 x 1) / 1.41
x= £250
£1 ------------------ ¥188
x ----------------- -¥ 39856
x = (39856 x 1) / 188
x = £212
Then, it was cheaper in Japan
