Jenna and Mike are given two points of a triangle, A(-2,-4) and B(8,6). In order to create an isosceles triangle, where AB = AC, Jenna says point C must be (-10,7) and Mike says point C must be (12,-6).

Which statement is true?

A.
Mike is correct.
B.
Jenna is correct.
C.
Neither Jenna nor Mike are correct.
D.
Both Jenna and Mike are correct.

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?

If the dimensions of a rectangular prism are 5 ft x 3.5 ft x 2 ſt, what is the surface area?

The table shows the webster family’s monthly expenses for the first three months of the year. they are $2,687.44, $2,613.09, and $2,808.64. what is the average monthly expenditure for all expenses?