Type the coordinates of the points P, Q, and R for each of the following images under the translation defined
by (x, y)—(X-8,y +9).

a) P'(0,0)

b) Q'( - 2,5)

c) R'(-6,- 3)

a) P1 [blank] P'(0,0) (Type an ordered pair.)

b) Q [blank] Q'(-2,5) (Type an ordered pair.)

c) R [blank] R’(-6, - 3) (Type an ordered pair.)

The sum of these consecutive integers is equal to 9 less than 4 times the least of the integer. find the three integers

Ok a point t on a segment with endpoints d(1, 4) and f(7, 1) partitions the segment in a 2: 1 ratio. find t. you must show all work to receive credit.

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)