To figure out the slope you would want to use this formula for 2 of the points: Y2-Y1/X2-X1.
if you followed this for (-3,-2) and (3,2), you would get 2-(-2)/3-(-3)
this would equal 4/6, which simplifies to 2/3
the slope of line p = 2/3x
Answer:
(-2, -2)
Step-by-step explanation:
Red point represents (-2,-6) while blue point represents (-2,-2). count the numbers upward and it'll be 4 units. Best thing to do in this problem is to plot the given points and go from there.
Answer:
Option 1
Step-by-step explanation:
The shaded area is 2/3 and it is divided into 1/9 pieces. So, 2/3 divided by 1/9 which equals 6 pieces. The only equation that matches this is option 1.
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.
Answer:
Step-by-step explanation:
<u>Multiply and simplify:</u>
- (x - 1)(x + 2)(x + 3) =
- (x² + 2x - x -2)(x + 3) =
- (x² + x - 2)(x + 3) =
- x³ + 3x² + x² + 3x - 2x - 6 =
- x³ + 4x² + x - 6
<u>From the final polynomial we can see that:</u>
- a = 1, b = 4, c = 1 and d = - 6
So all the coefficients are positive but the constant d is negative