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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Answer:
-1/2
Step-by-step explanation:
using the slope formula 3-(-2)/-4-6=-1/2
Answ x=59
Step-by-step explanation:
It’s true you can give the other person it tho
Remove parentheses.
-3/8 -1/6
Find the Least Common Denominator (LCD) of 3/8, 1/6. In other words, find the Least Common Multiple (LCM) of 8,6.
LCD=24
Make the denominators the same as the LCD.
- 3x3/8x3 - 1x4/6x4
Simplify. Denominators are now the same
-9/24 - 4/24
Join the denominators
-9-4/24
Simplify
-13/24
