The translation of a segment or object, from one location to another on the plane, doesn't change its length, just its location.
so it used to be there, now is here, but its length never changed.
Answer:
a. 1965
b. 8 years
Step-by-step explanation:
For answers to questions like these it can work to consider the smallest possible dataset.
<h3>Dataset</h3>
For our purpose, consider the 9 years/values to be averaged to be ...
1, 2, 3, 4, 5, 6, 7, 8 ,9
<h3>Observations</h3>
a. The center value of the data set is 5. Its number is 5-1=4 more than the first one.
The first centered value is from the year 1961 +4 = 1965.
b. The 4 values at the beginning, and the 4 values at the end do not have a corresponding "average" value. That is, 4+4 = 8 values in the series are lost with respect to the number of average values.
8 years of values are lost.
$30 because if you add 30 to those numbers it would give you the next months amount.
Positive I think that would be it
Answer:




Step-by-step explanation:
We have that:

When we substitute n=1, we get:

When we substitute n=2 we get:

When we substitute n=3, we get:

When we substitute n=n+1, we get:

Now

We expand and simplify to obtain:

