Which proportion could be used to determine if the figures represent a dilation? A rectangle with a length of 5 and width of 2. A rectangle with a length of 8 and width of 3. Two-thirds = StartFraction 5 Over 8 EndFraction Two-thirds = StartFraction 8 Over 5 EndFraction StartFraction 2 Over 8 EndFraction = Five-thirds StartFraction 2 Over 8 EndFraction = three-fifths

Given the statements, "a square root of 16 is 4," and "a square root of 9 is -3," complete the following blanks with the correct truth-values. p is and q is , so the statement, "a square root of 16 is 4 or a square root of 9 is -3" is .

Heather is writing a quadratic function that represents a parabola that touches but does not cross the x-axis at x = -6. which function could heather be writing? fx) = x2 + 36x + 12 = x2 - 36x - 12 f(x) = -x + 12x + 36 f(x) = -x? - 12x - 36

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.)