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:
3. 9x+5+x-7=25
4. 10x-2=25
5. 10x=27
Step-by-step explanation:
3. 9x+5+x-7=25
4. 10x-2=25
10x=25+2
5. 10x=27
x=27÷10
x=2.7
More than means to add.
Quotient means to divide.
4 + (12/x)
Answer:
C and D
Step-by-step explanation:
just took the quiz
Answer:
the red polygon in quadrant II
Step-by-step explanation:
It makes the most sense polygon 4 is not the answer because if we reflected it would be upside down, try to image a mirror in front of polygon 1 it would reflect to polygon 2 make the answer quadrant II.
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