List all the elements of the sample space for the following experiment: You roll a die and toss a penny. a. (1, H), (2, H), (3, H), (4, H), (5, H), (6, H), (1, T), (2, T), (3, T), (4, T), (5, T), (6, T) b. (1, H), (2, H), (3, H), (4, H), (5, H), (6, H), (1, H), (2, H), (3, H), (4, H), (5, H), (6, H) c. (1, T), (2, T), (3, T), (4, T), (5, T), (6, T), (1, T), (2, T), (3, T), (4, T), (5, T), (6, T) d. (1, H), (3, H), (5, H), (2, T), (4, T), (6, T)

Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?

What is the equation in slope-intercept form of the linear function represented by the table? y -18 -1 -8 4 2 912 o y=-2x-6 o y=-2x+6 o y=2x-6 o y = 2x+6

The graph shows the charges for a health club in a month. make a function table for the input-output values. writes an equation that can be used to find the total charge y for the number of x classes