If one root of the quadratic equation ax2+bx+c=0 is the reciprocal of the other, then a=c​

Find the values of y: 3y^3(y^2+ 2/3y)=0

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)

Ade and abc are similar. which best explains why the slope of the line between points a and d is the same as the slope between points a and b?