Answer:
B should equal 17 over 3
Step-by-step explanation:
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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One scarf takes 3/5 of a yard. Two of these takes 6/5 of a yard. If we put the 1 7/10 into an improper fraction we would get 17/10. So in order to compare the two fractions, the 6/5 and the 17/10, they have to have the same denominator. 6/5 can be rewritten as 12/10. 12/10 is less that the 17/10 you have, so yes you can make two scarves with that amount of fabric.
9 (x + 5) the greatest common factor is 9
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Answer:
y = -x -12
Step-by-step explanation:
The slope of the line you want is the same as the slope of the line you have: -1. Then the point-slope equation of the line is ...
y -k = m(x -h) . . . . . . line of slope m through point (h, k)
y -(-7) = -1(x -(-5))
y = -x -5 -7 . . . . subtract 7, eliminate parentheses
y = -x -12 . . . slope-intercept equation