Hello there! :D
Firstly, I want you to understand an important concept. This has something to do with absolute value. So, although distance is a number, it is neither positive nor negative. It does not necessarily involve value. So, what we are looking for today will not have a negative sign in front of it. We are simply looking for distance!
Let's start with ST, because the distance between those is smaller and therefore I can better explain this to you. T is at the point 19.1, and S is at the point 14. We need to find the amount of distance between the two. How do we do that?
Subtraction! In order to find this value we can subtract the smaller number from the larger number.
19.1-14= 5.1
ST is 5.1
Now we can look at the distance between TR. We are actually going to add numbers together! We know that T is 19.1. If we were to put a dot at zzero and measure that distance, it would be 19.1. What is the distance from R to zero? That's right! The same principle is there. If we had a dot at zero and we're measuring from 4, the distance would be 7.5 (even though it is negative on the number line).
So, we can add these numbers together!
19.1+7.5= 26.6
TR is 26.6
I hope this helped you and you have a wonderful day,
Kai xx
Answer: 
Step-by-step explanation:
<em>This number can definitely be simplified by five.</em>
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Hope this helps! :D
Answer:
9
Step-by-step explanation:
you want the trinomial (x*x - 6x + __ ) to be written as a binomial squared.
So we would need to realize that the constant would be equal to (-6/2)^2 =(-3)^2 = 9
We have completed the square.
f(x) = 4*( x - 3)^2 + 20 is now in Vertex Form
In a scatterplot you add a point for every data entry and do not connect them via lines or anything else.
You also labeled you axis already correct, so you pretty much only have to decide on the scale you want to use for the y-axis/number of offices.
You can choose between a relative scale similar to the years, starting at some point and ending at some or an absolute one which starts at 0.
The advantage of the first one is the "zoomed in" view, showing differences more clearly the other doesn't warp the absolute size.
For an absolute scale decide on the end (because it starts with 0) and then divide that range by the amount of squares to get your step height. I used 80000 as the end which resulted in steps of 4000 with each square.
With the relative scale its similar, round the max&min values of the data and decide on some step width (by dividing by your vertical graph height and rounding again). I used 3000 with 80000 and 20000 as the end and start of the axis.
Once you have your scale and both axis are labeled you only have to draw the points.
I added two pictures what the result should look like.
Answer
A. 196,608
Step-by-step explanation:
-12/3 = -4
48 / -12 = -4 and -192 / 48 = -4
This is a geometric sequence with common ratio -4.
an = a1 r^(n -1) so:-
9th term (a9) = 3*(-4)^(9-1)
= 196,608