Answer:
A
Step-by-step explanation:
equation of the line graphed
(y-4)/(2-4) = (x+6)/(0+6)
(y-4)/(-2) = (x+6)/6
y-4 = (x+6)/-3
y = (x+6)/-3 +4
y = (x+6-12)/-3
y = -1/3x + 2
so the answer is A
5x + y = -13.....multiply by -3
4x + 3y = -17
-----------------
-15x - 3y = 39 (result of multiplying by -3)
4x + 3y = -17
-----------------add
-11x = 22
x = -22/11
x = -2
5x + y = -13
5(-2) + y = -13
-10 + y = -13
y = -13 + 10
y = -3
solution (-2,-3)
Answer:
The 6 Lego kits can be selected from the 9 available Lego kits in 84 ways.
Step-by-step explanation:
Use combinations to solve this problem.
Combination is defined as the selection of <em>r</em> elements from <em>n</em> distinct objects irrespective of the order. The objects cannot be replaced.
There are 9 Lego kits available.
And the total number of children is 6.
That is, we need to select 6 Lego kits from the 9 available Lego kits.
6 Lego kits can be selected from the 9 available Lego kits in
ways.
Solving the combination as follows:

Thus, there are 84 ways to select 6 Lego kits from 9 available Lego kits.