Answer:
Every group of 6 people has at least two uniform 3-person groups.
Step-by-step explanation:
Denote the 6-people by 6-vertices and draw a blue edge between 2-edges. If the two persons representing the vertices are friends. Otherwise, draw a red edge. This gives rise to a colored graph K6, edges arecolored with either blue or red.
There can exist at most 36 mips. so, multicolor triangles can exist at most 36/2 = 18 multicolor triangles.
If there are 20-triangle in graph. Therefore, every graph of 6-people has at least two uniform 3-person groups.
Answer:
Correct Answer: (8,2)
Step-by-step explanation:
<u>Dilation about the origin</u>
Most dilations in the coordinate plane use the origin, (0,0), as the center of the dilation.
In such cases, every point (x,y) dilated by a factor of k is mapped to the point (kx,ky).
The point R=(4,1) is dilated by a scale factor of 2 (k=2), thus the coordinates of its image are (2*4,2*1) = (8,2)
Answer:
B: The y-intercept is (0,2).
Step-by-step explanation:
See attached graph.
I would say B) A parallelogram with all sides equal and all angles equal. Parallelograms aren't all squares. They can be rectangles and rhombuses. I would say B. They all have the same lengths on all sides. They all have the same angles as well. Take a look at the pictures below. They are all parallelograms. All sides are the same, and all angles are the same.
I would think it is round each amount to the nearest thousand dollars.
