First we need to find f(2) and f(5), which are 5 and 11 respectively; all you have to do is plug in 2 and 5.
Then, we use the following formula:
(f(b)-f(a))/(b-a),
where b and a are the largest and smallest x values respectively.
Finally, we plug our values in:
(11-5)/(5-2)=6/3=2
In fact, the average rate of change of any linear function is just the coefficient of the x term. Hope this helped!
Answer:
-2 -1 0 1 2 3
Step-by-step explanation:
Hello!
So, your questions are basically having to do with rotations. This means to rotate certain points in a grid.
The following are formulas for solving rotations-
90 Degrees Clockwise About The Origin = (X,Y) -> (Y,-X)
180 Degrees About The Origin = (X,Y) -> (-X,-Y)
270 Degrees Clockwise About The Origin = (X,Y) -> (-Y,X)
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90 Degrees Counterclockwise = 270 Clockwise
270 Degrees Counterclockwise = 90 Clockwise
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*Note, in the formulas, the negative sign only stands for the opposite. So if your original point is a negative, it will become positive,
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Now that we have our formulas, let's put them into affect with your points.
13) 90 Degrees CC = 270 Degrees Clockwise. Formula- (X,Y) -> (-Y,X)
A (2,-2) -> A' (2,2)
B (4,-1) -> B' (1,4)
C (4,-3) -> C' (3,4)
D (2,-4) -> D' (4,2)
*Note, the symbol _'_ Stands for prime. All this means, is the new point.
15) Now, I apologize, but I'm a bit confused on this one :( When it says about point L, I can't tell if it just wants that one point, or the whole figure translated. Again, I am so sorry :(
17) This one I do know. 270 degrees CC = 90 degrees Clockwise. Formula- (X,Y) = (Y,-X).
W (-6,-2) -> W' (-2,6)
X (-2,-2) -> X' (-2,2)
Y (-2,-6) -> Y' (-6,2)
Z (-5,-6) -> Z' (-6,5)
Hope this helped! Again, sorry about number 15. Have a great day!
Regards,
~KayEmQue
||cu|| = |c| * |u| = c[ magnitude of vector sum of 5i + 12j ] = 3sqrt(5^2 + 12^2)
= 3sqrt(169) = 3(13) = 39 (answer)