20) C) Write an expression when two bodies Mi, Ms are moving in the opposite direction and after
collision M, and My move in opposite direction
a)M,U,+MzU2 = (M;+M)V
b) M,U,+M2U2 = M,V, + MV,
C) MU,+M U2 = - MV, + MzV2
d) M,U,+M U2 = -(MV, - M:V2)
e)None of the above
Answers
Explanation:
First, an even number is a multiple of 2: 2, 4, 6, 8, and so on. It is conventional in algebra to represent an even number as 2n, where, by calling the variable 'n,' it is understood that n will take whole number values: n = 0, 1, 2, 3, 4, and so on.
An odd number is 1 more (or 1 less) than an even number. And so we represent an odd number as 2n + 1.
Let 2n + 1, then, be the first odd number. Then the next one will be 2 more -- it will be 2n + 3. The problem states that their sum is 52:
2n + 1 + 2n + 3 = 52.
We will now solve that equation for n, and then replace the solution in 2n + 1 to find the first odd number. We have:
4n + 4 = 52
4n = 48
n = 12.
Therefore the first odd number is 2 · 12 + 1 = 25. And so the next one is 27. Their sum is 52.