On a zip-line course, you are harnessed to a cable that travels through the treetops. You start at platform A and zip to each of the other platforms. How far do you travel from Platform B to Platform C? (Including your steps would be helpful)

The distance from Platform B to Platform C is 26.926 units

Step-by-step explanation:

The given parameters are;

The zip-line course distance from platform A to platform F are given;

On the given graph of the path of travel we have;

Coordinates of the point B = (-25, -20) and the coordinates of the point C = (-15, 5)

The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given by the formula;

Therefore, the distance between B and C is found by substituting (-25, -20) = (x₁, y₁) and (-15, 5) = (x₂, y₂)

Which gives;

The distance from points B to C = 26.926 units.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet