ΔABC has vertices A(2,1), B(4,4), and C(4,1). ΔDEF has corresponding vertices D(7,3), E(9,6), and F(9,3). Which of the following describes a translation that would produce ΔDEF from the pre-image of ΔABC? A. To the left five units, and down two units

B. To the left five units, and up two units

C. To the right five units, and up two units

D. To the right five units, and down two units

What is the binomial expansion of (2x-3)^5

The lengths of all sides of a triangle are integers when measured in decimeters. one of the sides has length of 1 dm and another of 3 dm. find the perimeter of the triangle.'

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?