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.
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Answer:
33.333333%
Step-by-step explanation:
If 6/9 (66.66666666%) of the jeans are blue it means that 3/9 of the jeans are not blue. 3/9 as a percentage is 33.333333%
Answer:
8 cubic meters squared.
Step-by-step explanation:
2*4=8
8/2=4
Since they're the same... You would multiply the product by two.
4*2=8
Ms.Jones gave sixteen minutes of homework
(2x-1)(x+4)=0
Step-by-step explanation:
A random zero property of multiplication is taken to find the solution
(2x-1)(x+4)=0
consider a=2x-1 and b=x-4 a.b=0
either a or b or both must be 0
equating both the equations
2x-1=0 or x=4=0 x-4=0
2x-1=0 x=4
2x=1
x=1/2
substitute the values of x in the main equation
[2(1/2)-1][(1/2)+4]=0
