For #6
x + y = -10
x - y = 2
First solve for y in one of the equations
x - y = 2
-y = 2 - x
y = -2 + x
y = x - 2
Now substitute into one of the equations and solve for x
x + y = -10
x + x - 2 = -10
2x - 2 = -10
2x = -8
x = -4
The two do not save money at the same rate, because if you make common denominators of 20, Anna saves 6 dollars for every 20, while Patrick only saves 5 dollars for every twenty earned. So, Anna ends up saving more than Patrick.
Answer:
18.5
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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Answer:
<h2>x = 6</h2>
Step-by-step explanation:
Multiply through by 2
That's
<u>Expand</u>
That's
5x + 4 + 4x = 58
9x = 58 - 4
9x = 54
Divide both sides by 9
That's
We have the final answer as
<h3>x = 6</h3>
Hope this helps you
