The points with coordinates (4, 8), (2, 10), and (5, 7) all lie on the line 2x+2y=24 . a. Which graph correctly shows these points graphed on the line? Graph _

(Look at images first!)

b. What is the slope of the line? Write your answer in simplest form.

c. Complete the statement about what the slope tells you about the relationship between lengths and widths of rectangles with perimeter 24.

A slope of
means that for rectangles of perimeter 24, every extra unit of length put into the width is
less unit of length that can be put into the length.

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?

The transitive property of equality states that: o if a = b, then bra o if a = b, then ac = bc o if a = b and b= c, then a = if a = b and c= c, then a + b = b + c

2x minus y equals 6, x plus y equals negative 3