Is 18ft, 23ft, 29ft a right triangle ?

Explanation:

a = 18, b = 23, c = 29

note: the largest value is always c

Plug those values into the pythagorean theorem

a^2 + b^2 = c^2

18^2 + 23^2 = 29^2

324 + 529 = 841

853 = 841

The last equation is false, so the first equation is false when (a,b,c) = (18,23,29). Meaning that we do not have a right triangle.

In contrast, something like a 3,4,5 triangle is a right triangle because...

a^2 + b^2 = c^2

3^2 + 4^2 = 5^2

9 + 16 = 25

25 = 25

that true equation means the original equation is true for (a,b,c) = (3,4,5)

true !

step-by-step explanation:

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.