mai is solving the equation (x-5)=0, she writes that the solutions are x=5 and x=-5. Han looks at her work and disagrees. he says that only x=5 is a solution. who do you agree with? explain your reasoning.

Hey there, im assuming the parenthesis are absolute Value

Han is correct!

Step-by-step explanation:

|x-5|=0

possible solution are the opposite of -5, which is 5

|5-5|=0 (true)

If it was -5,

|-5-5|≠0, it equals 10

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