12.075
Explain:
Price after mark-up: 10*115% = 11.5
Price after sales tax: 11.5 * 105% = 12.075
Well, we know perimeter is just adding all the lengths together.
And we already know 2 of the lengths, so we know the rest. 11 1/2 is the same as the opposite side, and 6 1/3 is the same as the opposite side.
So the sides are 6 1/3, 6 1/3, 11 1/2, 11 1/2.
Add them up:
6 1/3 + 6 1/3 + 11 1/2 + 11 1/2.
Improper fractions:
19/3 + 19/3 + 23/2 + 23/2.
Common denominator, (6):
38/6 + 38/6 + 69/6 + 69/6 = 214/6.
Simplify:
214/6 = 35 2/3
Pairs, in this case, relates to a group of 2 or more. We have 6 friends. Let's call them A,B,C,D,E,F. This will allow us to make a [some sort of] combination tree:
1. ABC against DEF
2. ABD against CEF
3. ABE against CDF
4. ABF against CDE
5. ACD against BFE
6. ACE against BDF
7. ACF against BDE
8. ADE against BCF
9. ADF against BCE
10. AEF against BCD
I believe there are 12 combinations... I just can't think of the last 2 though.
Gm, it’s almost night for me
Answer: The graph is shifted 6 units to the right.
Step-by-step explanation:
It is important to remember that:
When 
, then the function is shifted "k" units to the right.
Knowing this and given the quadratic parent function 
and the function 
, you can observe that one of the transformations is the following:
Where:
Therefore, you can notice that the effect is:
The graph is shifted 6 units to the right.
