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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Point-slope form: y - y₁ = m(x - x₁)
(m is the slope, (x₁, y₁) is the point you are given that is on the line)
You know:
m = 5
(x₁, y₁) = (-2, -3) So substitute/plug it into the equation
y - y₁ = m(x - x₁)
y - (-3) = 5(x - (-2)) (two negative signs cancel each other out and become positive)
y + 3 = 5(x + 2) Your answer is A
I think it’s linear. no numbers repeat. i could be wrong but LOL
Answer:
5/ sqrt2
Step-by-step explanation:
A=b.a.SinC
