For part A: two transformations will be used. First we will translate ABCD down 3 units: or the notation version for all (x,y) → (x, y - 3) so our new coordinates of ABCD will be:
A(-4,1)
B(-2,-1)
C(-2,-4)
D(-4,-2)
The second transformation will be to reflect across the 'y' axis. Or, the specific notation would be: for all (x,y) → (-x, y) New coordinates for A'B'C'D'
A'(4,1)
B'(2,-1)
C'(2,-4)
D'(4,-2)
Part B: The two figures are congruent.. We can see this a couple of different ways.
- first after performing the two transformations above, you will see that the original figure perfectly fits on top of the image.. exactly the same shape and size.
- alternatively, you can see that the original and image are both parallelograms with the same dimensions.
Answer:
x >-8
Step-by-step explanation:
22−2x<38
Subtract 22 from each side
22-22−2x<38-22
-2x < 16
Divide each side by -2, remembering to flip the inequality
-2x/-2 > 16/-2
x >-8
1 Yard = 3 feet
43 Yards = 179 feet
Answer:
There are 32760 ways to pick the members
Step-by-step explanation:
For the first place you have 15 possibilities, since every member of the club is available. For Madison you will have only 14, since you cant pick the same member than the one you picked for Sheyoygan. For the same argument, you will have 13 possibilities available for La Crosse, and only 12 for Green Bay.
We have to pick a combination using the possibilities that we have, thus, you have to multiply all 4 possibilities toguether to find the amount of ways to choose members to attend the conferences. This means that you will have a total of 15*14*13*12 = 32760 possibilities in total.
Answer:
C: Nominial interest rate
Step-by-step explanation:
C