ara and Lindsey both hike in separate directions from their campsite, with Kara hiking straight to the east and Lindsey hiking straight north. At 2:00 p. m., Kara hiked twice as far to the east as Lindsey hiked to the north. At 2:30 p. m., Kara had covered another mile, while Lindsey had covered another half of a mile. If x represents Lindsey's distance, in miles, from the campsite at 2:00 p. m., what function could be used to represent the area of the triangular region formed by the girls' locations and the campsite at 2:30 p. m.?

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?

Kylie explained that (-4x+9)^2 will result in a difference of squares because (-4x+9)^2 (-4x+9)^2 =(-4x)^2+(9)^2=16x^2+81

What is the radius of a circle with an area of 78.5 cubic inches? use 3.14 for pie