What are the center and radius of the circle defined by the equation x^2 + y^2 -6x + 8y + 21=0

When ∆rst is translated 4 units down, what are the apparent coordinates of t’? give 15 points

Suppose you just purchased a digital music player and have put 8 tracks on it. after listening to them you decide that you like 4 of the songs. with the random feature on your player, each of the 8 songs is played once in random order. find the probability that among the first two songs played (a) you like both of them. would this be unusual? (b) you like neither of them. (c) you like exactly one of them. (d) redo () if a song can be replayed before all 8 songs are played.

Solve for x where 0 equation: cot^2x+2cotx+1=0