Prove that if m + n and n + p are even integers, where m, n, and p are integers, then m + p is even.
m=2k-n, p=2l-n
Let m+n and n+p be even integers, thus m+n=2k and n+p=2l by definition of even
m+p= 2k-n + 2l-n substitution
= 2k+2l-2n
=2 (k+l-n)
=2x, where x=k+l-n ∈Z (integers)
Hence, m+p is even by direct proof.
Answer:
17 m
Step-by-step explanation:
As shown in the figure, 
is the ground level, 
is the old level of water which was at 20 m below ground level, 
is the new level of water which is 5m above of old level. The height of wall of the well, 1.20 m, and the the pelly at 80 cm =0.80 m, has been shown too.
The minimum length of the rope is equal to the distance between the pully and the new water level, indicated by the length 
in the figure.
So, 
Hence, Raghu must use a rope having the minimum length 17 m to draw water from the well.
(-∞,4). All I did was isolated x, and it says that x has to be less than 4. That means anything before 4 is fair game. Since the problem said that it can't be equal to 4 (as it would have had to have a line under the less than symbol), I used parenthesis on the 4 side as opposed to hard brackets. The <span>∞ always requires parenthesis. </span>
Answer:
6/12 score or 1/2
Step-by-step explanation:
I think there's an error with this question. Mind to check it back and tell me the detail?
