In how many ways can 3 identical emeralds 2 identical diamonds and 2 different opals be arranged in a row in a display case

An arithmetic series a consists of consecutive integers that are multiples of 4 what is the sum of the first 9 terms of this sequence if the first term is 0

y=2x−1 5x−4y=1 is (1,1)(1,1) a solution of the system?

An incoming airplane is x miles due north from the control tower at an airport. a second incoming airplane is y miles due east of the same control tower. the shortest distance between the two airplanes is z miles. which of the following functions would best model the situation above?