Rectangle defg has vertices d (2, 4), e (4, 7), f (10, 3), and g (8, 0). without graphing, determine the coordinates of d′, e′, f′, and g′ after rectangle defg has undergone the described transformation.
translate 5 units right and 2 units up

Which point on the x-axis lies on the line that passes through point c and is parallel to lino ab?

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297

It is given that the quadratic equation hx²-3x+k=0, where h and k are constants, has roots [tex] \beta \: and \: 2 \beta [/tex]express h in terms of k