Triangle xyz, with vertices x(-1, -3), y(-1, -1), and z(-3, -1), is translated 2 units right and one unit down to form triangle x′y′z′. what are the coordinates of the vertices of triangle x′y′z′? a. x′(1, 4), y′(1, -2), and z′(-1, 0) b. x′(1, -4), y′(1, -2), and z′(-1, -2) c. x′(-1, 4), y′(-1, 2), and z′(1, 0) d. x′(1, -4), y′(1, -2), and z′(-1, 0) e. x′(-3, -4), y′(-3, -2), and z′(-5, -2)

Find the perimeter of the figure shown above. a. 50 cm c. 30 cm b. 64 cm d. 60 cm select the best answer from the choices provided a b c d

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)

What is the slopeof the live that passes through the points and (-2,-5) and (3,-1)