Answer:
64
Step-by-step explanation:
if you do 64 + 18 you will get 82.
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:
<h2>18</h2>
Step-by-step explanation:
The formula of a distance between two points:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
We have the points (5, -7) and (5, 11). Substitute:
![d=\sqrt{(5-5)^2+(11-(-7))^2}=\sqrt{0^2+18^2}=\sqrt{18^2}=18](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%285-5%29%5E2%2B%2811-%28-7%29%29%5E2%7D%3D%5Csqrt%7B0%5E2%2B18%5E2%7D%3D%5Csqrt%7B18%5E2%7D%3D18)
Answer:
New being?
Step-by-step explanation:
18=3+36x-50x-55
18=3-14x-55
18=-14x-52
70=-14x
x=-5