The image of trapezoid ABCD has coordinates A'(-2,-5), B'(-1, -2), C'(2,-2), and D' (3,-5). It was translated by the rule T_1.-3(x, y). Which diagram shows the pre-image?

Nikolas calculated the volume of the prism. his work is shown below.

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

Whats are the trickiest steps to do when adding or subtracting rational expressions? how does knowledge of rational numbers u in adding and subtracting rational expressions?