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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Answer:
x=12
y=
Step-by-step explanation:
Hey There!
to solve this problem we need to use the 30 - 60 - 90 triangle rule
So you are correct on x because the hypotenuse is 2x
24/2=12
y would equal
as you could see in the image down below
Answer:
We start at:
|X+6|- 12 < 13
Here we can add 12 to both sides:
|X+6| <13 + 12 = 25
|X+6| < 25
We can separate it in two equations:
if x > -6, then |X+6| = x + 6
(x + 6) < 25
x < 25 - 6
x < 19
if x < -6, then |X+6| = -(x + 6)
-(x + 6) < 25
-x < 31
x > -31
And with those two equations we get:
-31 < x < 19
Answer:
45 sides
Step-by-step explanation:
Using the property:
Interior angle + exterior angle = 180°
exterior angle = 8°
now, using the formula:
number of sides = 360/exterior angle
number of sides = 360/8
number of sides = 45 ANS.
180-24=156
156/2=78
(78+24)+78=180
Hope this helped :)