The sides of a triangle are in the ratio 3: 4: 5. describe the length of the longest side if the
perimeter is at least 60 inches.

Add the ratios: 3 + 4 + 5 = 12

Divide the perimeter by 12:

60/12 = 5

Multiply each ratio by 5:

3*5 = 15 inches

4*5 = 20 inches

5*5 = 25 inches

The length of  the longest side is 25 inches.

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.

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.