Segment AB is on the line y-3=2(x+2) and segment CD is on the line y-3=1/2(x+2). Which statement proves the relationship of segments AB and CD? They are parallel because they have the same slope of 2

They are parallel because they have the same slope of -1/2

They are perpendicular because they have slopes that are opposite reciprocals of 2 and -1/2

They are perpendicular because they have slopes that are opposite reciprocals of -2 and 1/2

Find the number of liters in 12.8 gal of gasoline. round to the nearest hundredths

The length of a field is 100 yards and its width is 75 yards. if 1 inch represents 25 yards, what would be the dimensions of the field drawn on a sheet of paper?

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.)