Answer:
The correct to the question about is simply C. A is ruled out because it doesn't represent refections
The following given problem can be expressed in the form
of:
E = 5.60 * T1 + 8.40 * T2
where,
E = total earning
T1 = normal hours worked
T2 = overtime hours
Assuming that the maximum T1 hours is 40 hours. Beyond
that is considered overtime, therefore:
287 = 5.60 * 40 + 8.40 * T2
T2 = 7.5 hours
<span>Therefore 7.50 overtime hours is needed.</span>
Answer:
The modulus of the complex number 6-2i is:
![|z|\:=2\sqrt{10}](https://tex.z-dn.net/?f=%7Cz%7C%5C%3A%3D2%5Csqrt%7B10%7D)
Step-by-step explanation:
Given the number
![6-2i](https://tex.z-dn.net/?f=6-2i)
We know that
where x and y are real and ![\sqrt{-1}=i](https://tex.z-dn.net/?f=%5Csqrt%7B-1%7D%3Di)
The modulus or absolute value of z is:
![|z|\:=\sqrt{x^2+y^2}](https://tex.z-dn.net/?f=%7Cz%7C%5C%3A%3D%5Csqrt%7Bx%5E2%2By%5E2%7D)
Therefore, the modulus of
will be:
![z=6-2i](https://tex.z-dn.net/?f=z%3D6-2i)
![z=6+(-2)i](https://tex.z-dn.net/?f=z%3D6%2B%28-2%29i)
![|z|\:=\sqrt{x^2+y^2}](https://tex.z-dn.net/?f=%7Cz%7C%5C%3A%3D%5Csqrt%7Bx%5E2%2By%5E2%7D)
![|z|\:=\sqrt{6^2+\left(-2\right)^2}](https://tex.z-dn.net/?f=%7Cz%7C%5C%3A%3D%5Csqrt%7B6%5E2%2B%5Cleft%28-2%5Cright%29%5E2%7D)
![=\sqrt{6^2+2^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B6%5E2%2B2%5E2%7D)
![=\sqrt{36+4}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B36%2B4%7D)
![=\sqrt{40}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B40%7D)
![=\sqrt{2^2}\sqrt{2\cdot \:5}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B2%5E2%7D%5Csqrt%7B2%5Ccdot%20%5C%3A5%7D)
![=2\sqrt{2\cdot \:5}](https://tex.z-dn.net/?f=%3D2%5Csqrt%7B2%5Ccdot%20%5C%3A5%7D)
![=2\sqrt{10}](https://tex.z-dn.net/?f=%3D2%5Csqrt%7B10%7D)
Therefore, the modulus of the complex number 6-2i is:
![|z|\:=2\sqrt{10}](https://tex.z-dn.net/?f=%7Cz%7C%5C%3A%3D2%5Csqrt%7B10%7D)