1. Write an equation that is perpendicular to y=4x−10 and goes through the point (4, 2)
y =

2
Which equation is Perpendicular to 2x−3y=12 and goes through the point (2, -9)

y=32x+7

y = 32x+4

y = −32x−12

y = −32x−6

3. Which equation is Perpendicular to y= −32x+4and goes through the point (3, -12)

y = 23x−1

y = 23x +5

y = 23x−5

y = 23x−14

4.Which equation is Perpendicular to y=2x+9 and goes through the point ( 0, 9)

y = −12x+5

y = −12x+3

y = −12x+7

y = −12x+9

The length and a quarter of the width of a rectangle add up to 7 in, while the length and the width add up to 10 in. what are the rectangle's length and width?

The coordinates of vortex a’ are (8,4) (-4,2) (4,-,4) the coordinates of vortex b’ are (6,6)(12,-,12)(12,12) the coordinates of vortex c’ are(-2,,12)(4,12)(12,-4)

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.)