Suppose the equation for line a is given by 12x=9y+27. if line a and b are perpendicular and the point (16,-12) lies on line b, then write the equation for line b

Step-by-step explanation:

he equation for line A is given by 12x=9y+27

Equation of line is y=mx+b where m is the slope

Subtract 27 on both sides

Divide both sides by 9

Slope of the given line is 4/3

Slope of perpendicular lines are negative reciprocal of one another

slope of perpendicular line is -3/4

Multiply fraction inside the parenthesis

Now subtract 12 from both sides

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