The greatest common factor is the greatest number that will divide two values. We have two values L and M. Each has numbers which multiply together to give the number. The highest value or most in common they share is 6. This is the GCF.

The least common multiple is the smallest positive number which is a multiple of the two. This means both L and M divide into it evenly.

We know L x M is a multiple because L and M will be factors of it. But we don't know its the least.

As an example if L= 42 and M = 60, they have GCF 6. We can multiply them to find a multiple 42 x 60 = 2520 but we don't know this is the smallest or least multiple we can find. If we divide by the GCF, 2520/6=420. Interestingly, 42 x 10 =420 and 60 x 7 =420. This means 420 is the least common multiple.

We can multiply (L x M) and then divide by the GCF of L & M to find the least common multiple.

$\frac{(L x M)}{6}$

7 0

3 years ago

What is the 100th term if the sequence? 5 ,1 ,-3,-7

wel

5 ,1 ,-3,-7 ? what the dickens is going on?

notice, from 5 to 1, is really -4 units,

from 1 to -3, is -4 units as well, 1 -4 = -3 and so on.

so, to get the next term's value, you simply subtract 4 from the current one, namely -4 is the "common difference".

and we also know the first term is 5, ok... then

 $\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=-4\\
a_1=5\\
n=100
\end{cases}
\\\\\\
a_{100}=5+(100-1)(-4)\implies a_{100}=5+(99)(-4)
\\\\\\
a_{100}=5-396\implies a_{100}=-391$

3 0

3 years ago

On a coordinate plane, trapezoid A B C D has points (10, 6), (4, 10), (14, 16), (16, 10).

Verdich [7]

Answer:

60 square units

Step-by-step explanation:

3 0

3 years ago

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