Answer:
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Five pieces can be selected in 1287 ways
Step-by-step explanation:
When the selection has to be made without considering the order of selection, combinations are used.
The formula for combination is:
Here
Total candies = n = 13
Candies to be selected = r = 5
Putting the values in the formula
Five pieces can be selected in 1287 ways
Keywords: Combinations, selection
Learn more about combinations at:
#LearnwithBrainly
(-4-(-7)) / (1-7) = (3) / (-6) = -1/2 = slope
For the one on the left they are corresponding and on the right they are vertical
You add two equations together to eliminate a variable. This particular problem is nice, because it's already setup to eliminate X.
3x - 4y = 9
<span>-3x + 2y = 9
</span>
When we add these two together, 3x - 3x cancels each other out, leaving us with 0x, or nothing.
We continue with -4y + 2y (leaves us with -2y) and 9+9 (18).
-2y = 18
18/-2 = -9.
Now we have y = -9, and we can go back into the problems to solve for x.
<span>3x - 4(-9) = 9
</span>
3x + 36 = 9.
3x = -27
x = -9.
Confirm with the final equation:
-3(-9) + 2(-9) = 9
27 - 18 = 9
9 = 9 --- Confirmed.
