Recall that the area of a triangle is A=12B⋅H, where B is the base and H is the height.

The base of a triangle is 5 times the height. If the area is 490 square feet, then what is the height of the triangle, in feet?

14

Step-by-step explanation:

A = 1/2 BH

B = 5H

A = 490

490 = 5/2 * H^2

H = 14

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.

a) 0,0; 1,1; and 2,2

step-by-step explanation:

these have the exact same coordinates, thus they are the correct function.