Answer:
![(x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16](https://tex.z-dn.net/?f=%28x%20%2B%20%283%2B5i%29%29%5E2%20%3D%20x%5E2%20%2B%206x%20%2B%20%2810x%2B30%29i%20-%2016)
Step-by-step explanation:
Complex numbers identity:
The complex numbers identity is:
![i^2 = -1](https://tex.z-dn.net/?f=i%5E2%20%3D%20-1)
Square of the sum:
![(x + y)^2 = x^2 + 2xy + y^2](https://tex.z-dn.net/?f=%28x%20%2B%20y%29%5E2%20%3D%20x%5E2%20%2B%202xy%20%2B%20y%5E2)
In this question:
![(x + (3+5i))^2](https://tex.z-dn.net/?f=%28x%20%2B%20%283%2B5i%29%29%5E2)
![x^2 + 2x(3+5i) + (3+5i)^2](https://tex.z-dn.net/?f=x%5E2%20%2B%202x%283%2B5i%29%20%2B%20%283%2B5i%29%5E2)
![x^2 + 6x + 10xi + 9 + 30i + 25i^2](https://tex.z-dn.net/?f=x%5E2%20%2B%206x%20%2B%2010xi%20%2B%209%20%2B%2030i%20%2B%2025i%5E2)
![x^2 + 6x + 9 + (10x+30)i - 25](https://tex.z-dn.net/?f=x%5E2%20%2B%206x%20%2B%209%20%2B%20%2810x%2B30%29i%20-%2025)
![x^2 + 6x + (10x+30)i - 16](https://tex.z-dn.net/?f=x%5E2%20%2B%206x%20%2B%20%2810x%2B30%29i%20-%2016)
So
![(x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16](https://tex.z-dn.net/?f=%28x%20%2B%20%283%2B5i%29%29%5E2%20%3D%20x%5E2%20%2B%206x%20%2B%20%2810x%2B30%29i%20-%2016)
Answer:
150
Step-by-step explanation:
To find out how much it spins in one hour do 360 divided by 24= 15, and you need to find how much it spins in 10 hours so do 15 x 10=150
Answer:5.056179775
Step-by-step explanation:
9 divided 1.78
Answer:
D)V: X=5.5; H: Y=-2.5
Step-by-step explanation:
D)V: X=5.5; H: Y=-2.5