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: 60 divided by 4 = 15
Step-by-step explanation:
Step-by-step explanation:
Storage Space of Shed = Volume of Shed.
Volume of Shed = Volume of Rectangular level
+ Volume of Triangular roof
Volume of Rectangular Level =
Length x Width x Height
=
Volume of Triangular Roof =
Area of Triangular side x Length
=
Volume of Shed = 576 + 144
=
Find to LCM of 8 and 18 to compare times
Mary: 4*9laps/8*9min
36 laps/ 72 mins
Nicole: 12*4laps/18*4 mins
48 laps/ 72 mins
Nicole runs more laps in the same amount of time as Mary
Therefore, Nicole runs faster
Step-by-step explanation:
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