The ceiling of the whispering gallery of the stautary hall in the united states capitol building can be approximated by a semi ellipse. because of the properties of reflection, the whispering of someone tanding at one focus can be clearly heard by a person standing at th eohter focus. suppose that the distance between the foci is 38.5 feet and the max height of the ceiling above ear level is 37 feet. find the equation of an elliptical cross ection of this gallery.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 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)

Me! i will mark brainliest! i don't get polynomials and all that other stuff. so this question is really hard. multiply and simplify.(x - 4) (x^2 – 5x – 6)show your

Atransformation t : (x,y) (x-5,y +3) the image of a(2,-1) is