What do the following equations represent -4x-4y=-5 and x-2y=1
a=equal lines
b=parallel lines
c=perpendicular lines
d=none of the above

The answer to your question is: D = non of the above

Step-by-step explanation:

Data

          -4x - 4y = -5        (I)

             x - 2y = 1          (II)

Process

Find the slopes of both lines

(I)        -4x - 4y = -5

         -4y = 4x + 5

           y = 4/-4 x + 5/-4

          y = - x + 5/4

(II)       x - 2y = 1

          - 2y = - x + 1

            y = -1/-2 x + 1/-2

            y = 1/2 x - 1/2

The slopes are different   slope 1 = -1 and slope 2 = 1/2, so there is no relation between the lines.

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

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