A triangle on a coordinate plane is translated according to the rule T-3,5(x, y). Which is another way to write this rule? (x, y) - (x - 3, y + 5)
(x, y) - (x-3, y-5)
(x, y) - (x + 3, y-5)
(x, y) = (x + 3, y + 5)

Explanation:

The notation  or means to move any point (x,y) along the vector <-3,5>. Put another way, it says to shift (x,y) three units to the left and five units up. The x portion deals with left or right shifting, the y portion deals with up or down shifting. Since the x portion is negative, we go in the negative direction on the x axis. Y being positive means we move up rather than down.

This all means we end up with the translation rule

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

it would open into a square depending on the type of envelope i’m not sure about the second part