Which expression has an equivalent value to x2 + 9x + 8 for all values of x?
a. (x + 1)(x + 8)
b. (x + 2)(x + 6)
c/ (x + 4)(x + 4)
d. (x + 5)(x + 4)

(x + 1) (x+8) is the expression [a].

Step-by-step explanation:

Given :  x² + 9x + 8 .

To find :Which expression has an equivalent value to x2 + 9x + 8 for all values of x.

Solution : We have given that

                               x² + 9x + 8 =0

On factoring   :       x² + 8x +1x + 8 =0.

Taking common terms

            x( x+8 ) +1( x+ 8) =0.

(x + 1) (x+8) =0

Therefore , (x + 1) (x+8) is the expression [a].

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