Simplify: (x-2)^2/x+2 ÷ x-2/x^2-4 Note that the answer I have selected in the photo was an accident and I do not know if that is the answer or not

The answer is A) (x-2)^2

Step-by-step explanation:

(x-2)^2/x+2 x (x-2)(x+2)/(x-2)

then you simplify

X+2 on the denominator cancels the x+2 in the nominator

x-2 on the nominator cancels the x-2 in the denominator

you are left with

(x-2)^2

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.

sorry not knowing about that