Answer:
Step-by-step explanation:
Answer:
D. 19.6in
Step-by-step explanation:
ΔAFC is similar o ΔA'FC'. Therefore, their sides are in ration to one another:
FA/F'A'=AC/A'C'
9/(9+12)=8.4/A'C'
9/21=8.4/A'C'
3/7=8.4/A'C'
A'C'=8.4/(3/7)=19.6
If you have learned how to find the line of best fit manually, then you can do it that way. Perhaps you may want to just find a line that can connect at least two of the points and I believe that that line will be able to represent the other points because, in general, the points are pretty close to one another.
If you don't want to do it manually and have a graphing calculator (which I recommend) then you can use that to find the line of best fit (and if you want then you can see how precise your points are with your r^2 value). Or there is a website (http://illuminations.nctm.org/Activity.aspx?id=4186), which you can use to help you to find the equation of that particular line.
Once you have that done, then you can substitute 2009 for the x value in the equation and then see what y value the equation produces. That will then be your answer :)
We can do this two ways. For now, we can just do it the easiest way.
Since they are giving us coordinates, let’s just plug them in and see if they work.
-3(2)+5(4)=2(2)+3(4)
-6+20=4+12
14=16
So, (2,4) is not an answer. Let’s test 3,3.
-3(3)+5(3)=2(3)+3(3)
-9+15=6+9
6=15
It’s neither.
Now, we can see the other way.
-3x+5y=2x+3y
Let’s move the y to one side and the x to the other. Let’s subtract 3y from both sides.
-3x+2y=2x
Now add 3x.
2y=5x
We could’ve plugged in the x and y values with this as well.
But the answer would be neither.
Hey!
So, since the question says the sum of 9 and -16, we'll start by solving that first.
<em>New Equation :</em>
9 + ( -16 ) = ?
<em>Solution {New Equation Solved} :</em>
9 + ( -16 ) = -7
Next, the question says to increase it by 4. So that means we'll add it.
<em>New Equation :</em>
-7 + 4 = ?
<em>Solution {New Equation Solved} :</em>
-7 + 4 = -3
<em>So, this means that the solution to the problem that is the sum of -9 and -16 increased by 4 is</em> -3.
Hope this helps!
- Lindsey Frazier ♥