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:
10 pastries
Step-by-step explanation:
To find how many they made in 1 hour, divide 35 by 3 1/2
35/3.5
= 10
So, he made 10 pastries in 1 hour
Answer:
34/4 = 8.5 dollars per hr
12 x 8.5 = 102
Answer: $102
Step-by-step explanation:
First step: find the unit rate (how much she earns per hour )
34/4 = 8.5
Next: Find how much she wants to work for
Then: Create the equation.
12 x 8.5
Last: multiply 12 and 8.5 and you should get your answer of 102 dollars
REMEMBER TO ADD THE DOLLAR SIGN
I believe the correct answer is 42.25%
<h3>Solution and Explanation:</h3>
If 
and 
are directly proportional, then they must have a common scalar.
To find we must first find its scalar. If we let 
be the scalar we can form the equation, 
.
We are given the information that if 
then 
. We can use that in finding the scalar.
Now we can solve for when 
knowing that our scalar is 
.
<h3>Answer:</h3>
when
