On a coordinate plane, polygons A B C D and A prime B prime C prime D prime are shown. The points of A B C D are (2, negative 2), (4, negative 2), (3, negative 4), and (1, negative 4). The points of A prime B prime C prime D prime are (3, negative 3), (6, negative 3), (4.5, negative 6), (1.5, negative 6). Given the pre-image ABCD and the image after a dilation, A'B'C'D', what is true about the polygons? Check all that apply. The length AB is 2. The length A'B' is 3. The image is smaller than the pre-image. The scale factor is Three-halves. The scale factor is Two-thirds.

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?

Tom drove 206 miles in 3.9 hours. estimate his average speed.

The deepest part of the swimming pool is 12 feet deep.the shallowest part of the pool is 3 feet deep.what is the ratio of the deeply of the deepest part of the pool to depth of the shallowest part of a pool?