What is the answer please help
1 answer:
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The associative property makes it so whichever which way the numbers are the answer will be the same but as shown in the picture this isn't true for this statement because the answers become completely different depending on where the numbers are in the equation.
6 divided by 3 is NOT equal to 3 divided by 6 which disproves that property.
6 divided by 3 is NOT equal to 3 divided by 6 which disproves that property.
Answer:
[a,b] divides n
Step-by-step explanation:
Let us denote the least common multiple of a and b [a,b]=m.
We want to prove that m divides n, where n is a multiple of a and b.
We suppose m does not divide n, then by the Division Theorem, there exists q and r integers such that:
(1) ... n=mq+r, where 0<r<m
As n is a multiple of a and b, there exists s and t integers such that:
sa=n and tb=n
Same thing happens to m as it is the least common multiple, there exists u and v such that:
ua=m and vb=m
So (1) has the following form:
n=mq+r ⇒ sa=uaq+r ⇒sa-uaq=r⇒(s-uq)a=r and
n=mq+r ⇒ tb=vbq+r ⇒ tb-vbq=r⇒ (t-vq)b=r
So r is a multiple of a and b, but r<m which is a contradiction as, m is the least common multiple of a and b. So this concludes the proof.
So this means that is and integer.
As m= vb, then is an integer, lets say
=v; and as m=ua, then
=u.
So v=
=a, so
divides a; on the other hand,
u=
=b, so
divides b. From this we can conclude that
is a common divisor of a and b.
Answer:
B
Step-by-step explanation:
let base be b then height h = 2b + 4
The area (A) of a triangle is calculated as
A = bh ( b is the base and h the height ) , then
A = b(2b + 4) ← distribute parenthesis
A = b² + 2b
When b = 16 , then
A = 16² + 2(16) = 256 + 32 = 288 in²