To make this easier, you need to change the fractions by multiplication.
-3/4x=15 - First, you multiply 4 to both sides of the equation
(4)-3/4x=15(4)
-12/4x=60 - Simplify
-3x=60 - Divide by -3 on both sides
x=-20 -> (-20,0)
Do the same to find the y-intercept, to get (0,18)
Step-by-step explanation:
A(3,6)
x1,y1
B(11,12)
x2,y2
midpoint of AB(X,Y)
X= <u>x1</u><u> </u><u>+</u><u>x2</u>
2
= 3+11/2
= 7.
Y= <u>y1</u><u>+</u><u>y2</u>
2
= 6+12/2
= 9
AB(7,9)
The first choice can be any one of the 8 side dishes.
For each of these . . .
The 2nd choice can be any one of the remaining 7.
Total number of ways to pick 2 out of 8 = (8 x 7) = 56 ways .
BUT ...
That doesn't mean you can get 56 different sets of 2 side dishes.
For each different pair, there are 2 ways to choose them . . .
(first A then B), and (first B then A). Either way, you wind up with (A and B).
So yes, there are 56 different 'WAYS' to choose 2 out of 8.
But there are only 28 different possible results, and 2 'ways'
to get each result.