If cot theta is greater then 0 or sin theta is smaller than 0 then terminal arm of an angle lies in quadrants

Factorize: x^2+8x+10 i just solved it but i don't know if the process is correct

Brook states that the distance on the line is 4 units. caleb states that the whole line does not have a distance because it continues on forever. vivian states that the line is 6 units long. which distance did brook measure? which distance did vivian measure?

Plz a. s. a. p.the table shows the number of male and female contestants who did not win a prize. what is the probability that a randomly selected contestant won a prize, given that the contestant was female? write the probability as a percent. round to the neares tenth, if needed.