The formula for the sum of an infinite geometric series, S = StartFraction a 1 Over 1 minus r EndFraction, may be used to convert 0. ModifyingAbove 2 3 with bar to a fraction. What are the values of a 1 and r? a 1 = StartFraction 23 Over 10 EndFraction, r = one-tenth a 1 = 23, r = StartFraction 1 Over 100 EndFraction a 1 = StartFraction 23 Over 100 EndFraction, r = 100 a 1 = StartFraction 23 Over 100 EndFraction, r = StartFraction 1 Over 100 EndFraction.

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?

Determine the difference: 3.2 × 1010 – 1.1 × 1010. write your answer in scientific notation.

Look at the hyperbola graphed below. the hyperbola gets very close to the red lines on the graph, but it never touches them. which term describes each of the red lines? o o o o a. asymptote b. directrix c. focus d. axis