Find the coordinates of the points after the given transformation by matching the preimage to the image. (2, 4); rotation 90 degrees

(2-4); rotation 270 degrees

(2-4); rotation 180 degrees

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?

Mark, taylor, & brian's ages are consecutive whole numbers. mark is the youngest, and brian is the oldest. the sum of their ages is 111. how old is mark? a) 34 years old b) 35 years old c) 36 years old d) 37 years old

Solve the inequality. |3x + 6| < 12 a) –6 < x < 2 b) –21 < x < 3 c) –6 > x > 2 d) –2 < x < 2