For what values of a the following expressions are true: |a|=−a

Any negative number and 0 works for the expression.

Step-by-step explanation:

Looking at this type of equation, we know that either EVERY negative number and 0 or EVERY positive number and 0 will work for this equation, since nothing is being added and we're just working with absolutes/negatives.

Let's try a random positive number in the expression

So this positive number doesn't work, let's just test with another one.

So we know that positive numbers won't work with this expression.

Let's test 0 quickly, just to make sure.

So 0 works.

Let's try a few negative numbers now.

So yes, this does work. Let's try one more negative number.

This works. So, every negative number and 0 work with this equation.

Hope this helped!

|a|=−a is true only if a is negative or zero

Step-by-step explanation:

Recall that absolute values are always 0 or positive.  

|a|=−a is true only if a is negative or zero.

answer: hey there,

the answer you are looking for is a..

hope this you!

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