Work out the area of the triangle.
6m
8m
10m
The diagram is not drawn to scale.

I believe the answer is 40m2

Step-by-step explanation:

s area of a triangle is

1

2

×

base

×

height

Area of given triangle is

1

2

×

8

×

10

=

80

2

=

40

m

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.