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:
<u><em>21 yard line</em></u>
Step-by-step explanation:
Ok we start out on the 20 yard line, we need to add the yards together.
<em>We add the 6 to the 20:</em>
20+6=26
<em>Then we subtract the 8 yards from our new 26:</em>
26-8=18
<em>Then we add the 18 by 3:</em>
18+3=21
Therefore,
<em>The Answer is 21 Yard Line.</em>
Hope I could help, If you need some more assistance ask me!
Answer:
80
Step-by-step explanation:
Answer:
exterior of an angle should add up to 180 with the other angle. so the angle next to the exterior angle should add up to 180. the exterior angle should be the one outside or facing the or opening up to the outside.
Step-by-step explanation:
Answer as an inequality: 
Answer in interval notation: 
Answer in words: Set of positive real numbers
All three represent the same idea, but in different forms.
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Explanation:
Any log is the inverse of an exponential equation. Consider a general base b such that f(x) = b^x. The inverse of this is 
For the exponential b^x, we cannot have b^x = 0. We can get closer to it, but we can't actually get there. The horizontal asymptote is y = 0.
Because of this,
has a vertical asymptote x = 0 (recall that x and y swap, so the asymptotes swap as well). This means we can get closer and closer to x = 0 from the positive side, but never reach x = 0 itself.
The domain of
is x > 0 which in interval notation would be
. This is the interval from 0 to infinity, excluding both endpoints.
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The natural log function Ln(x) is a special type of log function where the base is b = e = 2.718 approximately.
So,

allowing all of what was discussed in the previous section to apply to this Ln(x) function as well.
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In short, the domain is the set of positive real numbers. We can't have x be 0 or negative.