Answer:
Step-by-step explanation:
4ab(a-b)+b(2b-2a^2)
=4*1*-1[1-(-1)]+(-1){2(-1)-2*1^2}
=-4(1+1)-1{-2-2}
=-4*2-1(-4)
=-8+4
=-4
Slot method aka permuations
6 slots
1st slot: 6 options
2nd slot: 5 options (1 went to first slot)
3rd slot: 4
4th slot:3
5th slot:2
6th slot:1
multiply
6*5*4*3*2*1=720
720 ways
Mike is 29.
5+2x+x=41
5+3x=41
3x=36
x=12
5+2x=Mike’s Age
5+2(12)= Mike’s Age
29= Mike’s Age
Answer:
First, plot points A & B on a graph.
Collinear just means 3 or more points in a straight line (because just 2 points are always collinear, since a straight line can always be drawn through two points.
The instructions don't state a specific area in which points C & D have to be in, so you can put them anywhere, as long as they are collinear with each other, but not any other points,
- i.e. putting three units up and two units left of points A & B
So let's make up some points for C & D that are on a straight line.
- Remember, this line does <em>not</em> have to be horizontal! As long as it's a straight line, any direction will do.
Here are some points that you can choose from:
- C(-1, 1); D(-1, -1)
- C(4, 5); D(4, -5)
- C(3, 4); D(3, 5)
- Anything that doesn't fall on x=2 or y=±3.
For "F" just pick a set of coordinates off to the side and label it
You can even use half values if you want:
- (0.5, 3.2)
- (1.2, -4.1)
- (-9.1, -0.2)
As long as your plotted points meet the criteria:
- C & D are <em>Collinear</em>
- A, B, C, D, & F must not land on the same straight line.
Answer:
180.0
Step-by-step explanation:
