Answer:
Given
x+y+z=0
⟹x+y=−z
Cubing on both sides
(x+y) 3 =(−z) 3
⟹x 3 +y 3 +3x 2y+3xy 2 =−z 3
⟹x 3 +y 3 +3xy(x+y)=−z 3
⟹x 3+y 3+3xy(−z)=−z 3
⟹x 3 +y 3−3xyz=−z 3
⟹x 3 +y 3 +z 3 =3xyz
Step-by-step explanation:
Hope it is helpful.....
Answer:
○ B) ⅘
Step-by-step explanation:
Starting from the second endpoint, you go four blocks <em>south</em><em> </em>over five blocks <em>west</em><em> </em>[<em>west</em><em> </em>and <em>south</em><em> </em>are negatives], giving you ⅘.
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There are 31 days in january
Answer:
11 inches
Step-by-step explanation:
The area of a circle can be found using:
![a=\pi r^{2}](https://tex.z-dn.net/?f=a%3D%5Cpi%20r%5E%7B2%7D)
We already know that the area is 380, so we can substitute 380 in for a.
380=![\pi r^2](https://tex.z-dn.net/?f=%5Cpi%20r%5E2)
Now, we need to find the radius. To do this, we need to get r by itself
First, divide both sides by pi
![380/\pi =\pi r^2/\pi](https://tex.z-dn.net/?f=380%2F%5Cpi%20%3D%5Cpi%20r%5E2%2F%5Cpi)
120.95775675=r^2
Since r is being squared, we need to take the square root of both sides
![\sqrt{120.95775675}=\sqrt{r^2}](https://tex.z-dn.net/?f=%5Csqrt%7B120.95775675%7D%3D%5Csqrt%7Br%5E2%7D)
10.9980796846=r
If we round to nearest whole number, our radius is 11 inches
Answer:
Simplified expression is 1.8i+0.6s
Step-by-step explanation: