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.
C
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Answer:
6π cm³
Step-by-step explanation:
V = Ah ( A is the base area and h the height ), then
3πh = 18π ( divide both sides by 3π )
h = = 6
Then the height of the smaller cylinder = 6 - 3 = 3 cm
V = 3π × 3 = 9π cm³ ← volume of smaller can
Step-by-step explanation:
O goes over 22, N goes over -95, an I goes over 24, T goes over 16, V goes over -796, and those are the ones im sure of
