= 12*5 + 12*3i - 5*2i - 6i^2 (remember that i^2 = -1) so:-
= 60 +26i - 6*(-1)
= 60 + 26i + 6
= 66 + 26i
simplify exponent: 20*(9-4)/50
simplify parentheses: 20*5/50
multiply: 100/50
divide: 2
Answer:
Step-by-step explanation:
![x_{1}=7 \ ; y_{1} = -4\\\\x_{2} = -8 \ ; y_{2}=5\\\\CD = \sqrt{(-8-7)^{2}+(5-[-4])^{2}}\\\\=\sqrt{(-15)^{2}+(5+4)^{2}}\\\\=\sqrt{225+(9)^{2}}\\\\=\sqrt{225+81}\\\\=\sqrt{306}\\\\=\sqrt{3*3*2*17}\\\\=3\sqrt{34}](https://tex.z-dn.net/?f=x_%7B1%7D%3D7%20%5C%20%3B%20y_%7B1%7D%20%3D%20-4%5C%5C%5C%5Cx_%7B2%7D%20%3D%20-8%20%5C%20%3B%20y_%7B2%7D%3D5%5C%5C%5C%5CCD%20%3D%20%5Csqrt%7B%28-8-7%29%5E%7B2%7D%2B%285-%5B-4%5D%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-15%29%5E%7B2%7D%2B%285%2B4%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B225%2B%289%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B225%2B81%7D%5C%5C%5C%5C%3D%5Csqrt%7B306%7D%5C%5C%5C%5C%3D%5Csqrt%7B3%2A3%2A2%2A17%7D%5C%5C%5C%5C%3D3%5Csqrt%7B34%7D)
Distance = 
Answer:
c. $750
Step-by-step explanation:
the perimeter is 80m
80÷8=10
10*75=750
Answer:
The total number of containers than can be filled = 
Step-by-step explanation:
The amount of blueberries Carl has = 3 1/2 cups
Now, 
⇒The amount of blueberries Carl has = 3. 5 cups
Also,the amount of blueberries each container can store = 2/3 cups
Now, 
⇒The amount of blueberries each container can store = 0.67 cups
So, \textrm{Total cpus that can be filled by blueberries} = \frac{\textrm{Toaal amount of blueberries to be stored}}{\textrm{Bluebeeries stored in 1 cup}}
= 
Now,
Hence, the total number of cups than cen be filled with the blue berries = 5 11/50
⇒ Blueberries can fill 5 full cups and 11/50th of the 6th cup.