Abc has vertices at a(5,-1), b(9, -9), and c(4,-1). write the equation of the line in slope-intercept form that is perpendicular to ab and passes through point c

Step-by-step explanation:

step 1

Find the slope of AB

we know that

The formula to calculate the slope between two points is equal to

we have

A(5,-1), B(9, -9)

substitute the values

step 2

Find the slope of the line that is perpendicular to AB

we know that

If two lines are perpendicular, their their slopes are opposite reciprocal (the product of their slopes is equal to -1)

we have

therefore

The slope of the perpendicular line is

step 3

Find the equation of the line in point slope form

we have

substitute

step 4

Convert to slope intercept form

Isolate the variable y

the naturalist literary movement was an extension of the realist literary movement, a movement that strove to portray life as it really was hope it

step-by-step explanation:

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