A 20-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 8 meters per minute. At a certain instant, the top of the ladder is 12 meters from the ground.
What is the rate of change of the distance between the bottom of the ladder and the wall at that instant (in meters per minute)?

Girardo is using the model below to solve the equation . girardo uses the following steps: step 1 add 4 negative x-tiles to both sides step 2 add 1 negative unit tile to both sides step 3 the solution is which step could be adjusted so that gerardo's final step results in a positive x-value? in step 1, he should have added 4 positive x-tiles to both sides. in step 1, he should have added 3 negative x-tiles to both sides. in step 2, he should have added 4 negative unit tiles to both sides. in step 2, he should have added 1 positive unit tile to both sides.

Consider the polynomials given below. p(x) = x4 + 3x3 + 2x2 – x + 2 q(x) = (x3 + 2x2 + 3)(x2 – 2) determine the operation that results in the simplified expression below. 35 + x4 – 573 - 3x2 + x - 8 a. p+q b. pq c. q-p d. p-q

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