Sasha is bisecting a segment. First, she places the compass on one endpoint, opens it to a width larger than half of the segment, and swings an arc on either side of the segment. Then, she keeps the compass the same width and places it on the other endpoint. What is her next step? Swing arcs on both sides to intersect the first two arcs created.
Swing an arc that intersects the segment.
Swing arcs that intersect a point that is not on the segment.
Swing an arc that intersects the opposite endpoint.

Swing arcs on both sides to intersect the first two arcs created.

Swing arcs on both sides to intersect the first two arcs created.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

step-by-step explanation:

the true ones are a b and d