Answer:
i think 
because if t = 12, t will not satisfy the first and last equation (in the first equation, t<6 and in the last equation t> 12)
so t = 12 only satisfy the second equaton with 6≤t≤12
Step-by-step explanation:
X=Amount of games in each case.
He has 2 cases of videos games with the same number of games in each case:
2x+2x
He gives 4 away to his brother:
2x+2x-4
Now he has 10 games left:
2x+2x-4=10
4x-4+4=10+4
4x/4=14/4
X=3.5. round up to 4 because you can’t have .5 of a game.
Richordo had 4 video games in each case.
Answer:
Differentiate using the power rule where ![d/dx[x^n]=nx^n-1,n=2](https://tex.z-dn.net/?f=d%2Fdx%5Bx%5En%5D%3Dnx%5En-1%2Cn%3D2)
the derivative would be 2x
Step-by-step explanation:
The explanation is here. the rest of the questions must be do by yourself.
Establish two right triangles, both with the height of the pole, h.
Call x the distance from the pole to one stake. Then the distance from the other stake to the pole is 6 -x.
Apply Pytagora's equation to both triangles.
1) h^2 = 7^2 - x^2
2) h^2 = 8^2 - (6-x)^2
Eaual 1 to 2
7^2 - x^2 = 8^2 - 6^2 +12x -x^2
12x = 7^2 -8^2 +6^2 = 49 -64 + 36 = 21
x = 1.75
Substitue x-value in 1
h^2 = 49 - (1.75)^2 = 45.94
h = sqrt(45.94) = 6.78
Answer: option d.
