Answer:
A = 8, B = 9 and C = 6.
Step-by-step explanation:
We can create equations to solve this:
6 + A = 14
So A = 8.
A + B = 17
8 + B = 17
B = 9.
C = 29 - (6 + A + B)
= 29 - ( 6 + 8 + 9)
= 29 - 23
= 6.
Step-by-step explanation:
Claim:
it takes n - 1 number of breaks to break the bar into n separate squares for all integers n.
Basic case -> n = 1
The bar is already completely broken into pieces.
Case -> n ≥ 2
Assuming that assertion is true for all rectangular bars with fewer than n squares. Break the bar into two pieces of size k and n - k where 1 ≤ k < n
The bar with k squares requires k − 1 breaks and the bar with n − k squares
requires n − k − 1 breaks.
So the original bar requires 1 + (k−1) + (n−k−1) breaks.
simplifying yields,
1 + k − 1 + n − k − 1
1 - 1 + n - 1
n - 1
Therefore, we proved as we claimed that it takes n - 1 breaks to break the bar into n separate squares.
A I think it’s A llllleeeeettt go
Answer:
The length would be 1.5x + 5.
Step-by-step explanation:
So first with this, note that 2 length + 2 height gives the perimeter of the rectangle.
Given this:
2(1/2x + 4) + 2(?) = 4x+18
x+8 + 2(?) = 4x+18
2(?) = 3x+10
? = 1.5x+5
1.5x + 5 = 1.5x + 5
The length would be 1.5x + 5.
To double check, by plugging in 1.5x + 5 back into the equation for the perimeter, you will get the same perimeter:
2(1.5x + 5) + 2(1/2x+4) = P
3x+10 + x+8 = P
4x + 18 = P
