Find b such that the line y = b divides the region bounded by the graphs of the two equations into two regions of equal area. (Round your answer to three decimal places.) y = 81 − x2, y = 0

The function g(x) is defined as shown. x-1, -2 g(x) = 2x+3, -1 6-x, x23

Assemble the proof by dragging tiles to the statements and reasons column

Statements reasons 1. ab ? cd; ad ? bc 1. given 2. ac ? ac 2. reflexive property 3. ? adc ? ? cba 3. ? 4. ? dac ? ? bca; ? acd ? ? cab 4. cpctc 5. ? dac and ? bca are alt. int. ? s; ? acd and ? cab are alt. int. ? s 5. definition of alternate interior angles 6. ab ? cd; ad ? bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3?