In triangle abc shown below, side ab is 6 and side ac is 4.

which statement is needed to prove that segment de is parallel to segment bc and half its length?
answer
segment ad is 3 and segment ae is 2.
segment ad is 3 and segment ae is 4.
segment ad is 12 and segment ae is 4.
segment ad is 12 and segment ae is 8.

Use the graph of the sine function y=2sinθ shown below

If you apply the below transformations to the square root parent function, f(x) = vx, what is the equation of the new function? • shift 12 units right. • shift seven units down.

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.