Complete the steps to solve this linear equation: 2x + 9(x – 1) = 8(2x + 2) – 5 1.Apply the distributive property: 2x + 9x– 9 = 16x + 16 – 5

2.Combine like terms on each side: 11x – 9 = 16x + 11

3.Use the subtraction property of equality to isolate the variable term: –9 = 5x + 11

Use the subtraction property of equality to isolate the constant: –20 = 5x

4. Use the division property of equality to solve:

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?

Which point lies on a circle with a radius of 5 units and center at p(6, 1)?

Identify the conclusion of the conditional statement. if you live in phoenix, then you live in arizona.