Which of the following quadratic equations has the solutions x=-20 and x=9? show your work.

a) (x+20) (x-9)
b) (x-20) (x+9)
c) (x-5) (x-4)
d) x^2+11x-180
e) x^2-11x+180
f) x^2-9x+20

Can you simplify 4/7? 24 points will be awarded!

Can somebody 1. what is the formula for finding the vertical distance between two points on a coordinate plane?

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.)