Please help me. Find the distance between the points A and B shown on the
coordinate plane.
A
A. 13 units
B. 11.5 units
C. 12.1 units
D. 11.2 units

d = 12.1 units

Step-by-step explanation:

Given

d = 12.1 units

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.