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:
first put the numbers on the lines then plot the points that are given
Step-by-step explanation:
first with the numbers of the line then plot the points that are given and you will find the slope and y-intercept of the equation
Answer:
B
Step-by-step explanation:
An even number is a number divisible by 2 and be an integer. An example would be 4/2 = 2
An incorrect even number would be 5
5/2 = 2.5 which isn't odd or even because it isn't an integer.
Answer:
Step-by-step explanation:
to do this, u would just sub ur answer choices into the inequalities and see what is true. Keeping in mind, that ur point has to satisfy both inequalities for it to be a solution.
2x + y < 12...subbing in (3,3) 3x - 2y > 2...subbing in (3,3)
2(3) + 3 < 12 3(3) - 2(3) > 2
6 + 3 < 12 9 - 6 > 2
9 < 12....true 3 > 2....true
(3,3) lies in the solution set <==
Answer: option a. accurate.
That the data fit closely a model means that the model permits both to reproduce actual data and to predict values with a good accuracy.