2) 8
7
A town has four coffee shops, A, B, C and D. An
entrepreneur wishes to open a new shop in the town but
would like it to be as far as possible from all the other
four coffee shops.
The Voronoi diagram of the coffee shops is shown to the right
6
D
5
4.
P
a) What are the coordinates of coffee shop C?
3
B
2
1
b) What is the equation of line QP?
0
1
2
3
4
6
9 10
c) What is the equation of the perpendicular bisector of CD?
d) What are the coordinates of point P?

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

For each proportion find the unknown number x 1/5/8=×/15

How do i start to solve? would appreciate a walk-thru! a bird sitting 16ft above the ground in an apple tree dislodges an apple. after how many seconds does the apple land on the ground? (assuming that no branches will interfere with it's fall)