the area of a trapezium is 14.7cmsquare. if the parallel sides are 5.3cm and 3.1cm long, find the perpendicular distance between them

Height = 3.5cm.

Step-by-step explanation:

Area of a trapezium:

a+b/2 × h

Area = 14.7cm²

Parallel sides (a and b) = 5.3cm, 3.1cm

14.7cm² = 5.3 + 3.1/2 × h

h = 14.7 ÷ 4.2

h = 3.5cm

The height is 3.5cm.

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0