A flat, square roof needs a square patch in the corner to seal a leak. The side length of the roof is (x 1 12) ft and the side length of the patch is x ft. What is ?

Complete the standard form of the equation that represents the quadratic relationship displayed above, where a, b, and c are rational numbers.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

2.5 milligrams is equivalent to how many grams