Solve the equation
16(m+5)^2=8

m= 1-5√2/√2        ,   m=  -1 - 5√2/ √2

Step-by-step explanation:

16(m+5)² = 8

Dividing 16 on both sides

(m+5)² = 8/16       (Cancellation)

(m+5)² = 1/2

Taking Square Root on both sides

√m+5)² =√1/2

m+5 = ±√1/2

Shifting 5 on right side

m= +1/√2 - 5          ,    m= -1/√2 - 5

m= 1-5√2/√2        ,   m=  -1 - 5√2/ √2

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

6x = 48

i hope this . 6 cards each and a total of $48. dvide each side by 6 and you will have your answer.