![(a + b)^2 = a^2 + 2ab + b^2](https://tex.z-dn.net/?f=%20%28a%20%2B%20b%29%5E2%20%3D%20a%5E2%20%2B%202ab%20%2B%20b%5E2%20)
![(\dfrac{1}{4}A + \dfrac{1}{4}B)^2 =](https://tex.z-dn.net/?f=%20%28%5Cdfrac%7B1%7D%7B4%7DA%20%2B%20%5Cdfrac%7B1%7D%7B4%7DB%29%5E2%20%3D%20)
![= \dfrac{1}{16}A^2 + \dfrac{1}{8}AB + \dfrac{1}{16}B^2](https://tex.z-dn.net/?f=%20%3D%20%5Cdfrac%7B1%7D%7B16%7DA%5E2%20%2B%20%5Cdfrac%7B1%7D%7B8%7DAB%20%2B%20%5Cdfrac%7B1%7D%7B16%7DB%5E2%20)
Answer: A.
Another way to solve by factoring 1/4.
![(\dfrac{1}{4}A + \dfrac{1}{4}B)^2 =](https://tex.z-dn.net/?f=%20%28%5Cdfrac%7B1%7D%7B4%7DA%20%2B%20%5Cdfrac%7B1%7D%7B4%7DB%29%5E2%20%3D%20)
![= [\dfrac{1}{4}(A + B)]^2](https://tex.z-dn.net/?f=%20%3D%20%5B%5Cdfrac%7B1%7D%7B4%7D%28A%20%2B%20B%29%5D%5E2%20)
![= (\dfrac{1}{4})^2(A + B)^2](https://tex.z-dn.net/?f=%20%3D%20%28%5Cdfrac%7B1%7D%7B4%7D%29%5E2%28A%20%2B%20B%29%5E2%20)
![= \dfrac{1}{16}(A^2 + 2AB + B^2)](https://tex.z-dn.net/?f=%20%3D%20%5Cdfrac%7B1%7D%7B16%7D%28A%5E2%20%2B%202AB%20%2B%20B%5E2%29%20)
![= \dfrac{1}{16}A^2 + \dfrac{1}{16}2AB + \dfrac{1}{16}B)^2](https://tex.z-dn.net/?f=%20%3D%20%5Cdfrac%7B1%7D%7B16%7DA%5E2%20%2B%20%5Cdfrac%7B1%7D%7B16%7D2AB%20%2B%20%5Cdfrac%7B1%7D%7B16%7DB%29%5E2%20)
![= \dfrac{1}{16}A^2 + \dfrac{1}{8}AB + \dfrac{1}{16}B)^2](https://tex.z-dn.net/?f=%20%3D%20%5Cdfrac%7B1%7D%7B16%7DA%5E2%20%2B%20%5Cdfrac%7B1%7D%7B8%7DAB%20%2B%20%5Cdfrac%7B1%7D%7B16%7DB%29%5E2%20)
Answer:
B: 6
Step-by-step explanation:
Find the mean:
5+8+4+7= 24
24/4=6
Step-by-step explanation:
this is really complicated and tricky.
to create the next number, you have to add the first 2 digits of the previous number, then subtract the 3rd from the 2nd digit, multiply the 3rd and the 4th digit, and finally divide the 4th digit by the 5th.
so,
8+8 = 16
8-5 = 3
5×1 = 5
1/1 = 1
giving 16351 as next number.
the missing number we get then
1+6 = 7
6-3 = 3
3×5 = 15
5/1 = 5
giving 73155 as the next (missing) number.
control :
7+3 = 10
3-1 = 2
1×5 = 5
5/5 = 1
gives us 10251 as next number - correct.
but then it will end
1+0 = 1
0-2 = -2 ???? take the absolute value ?
2×5 = 10
5/1 = 5
Exactly one activity:
246None of the activities :
1At least one activity:
74Snowboarding and Ice skating but not skiing:
5Snowboarding or ice skating but not skiing:
132.
Only skiing :
119.
The diagram is in the attachment.
To solve this question, use the Cube surface area formula
Area = 6a^2 in which a = edge.
edge = 8.5
Area = 6(8.5)²
Simplify. Follow PEMDAS
Area = 6(72.25)
Area = 433.5
(C) 433.5 in² is your answer
hope this helps