If x varies directly with y and x = -3 when y = 12, what is the constant of variation?

k = -

Step-by-step explanation:

Given that x varies directly with y then the equation relating them is

x = ky ← k is the constant of variation

To find k use the condition x = - 3 when y = 12

- 3 = 12k ( divide both sides by 12 )

= k , that is

k = -

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