In rectangle qrst, qs = x2 + 6x, and rt = 8x + 3. find the length of qs.

The length of QS is 27 units.

Step-by-step explanation:

In the given rectangle QRST QS and RT are the diagonals. In a triangle, the opposite sides are equal and parallel. This implies that the diagonals of a rectangle are equal.

We have obtained a quadratic equation here and solving this gives the possible values of QS.This can be solved using quadratic formula

The quadratic equation is of the form  

here a=1 b=-2 c=-3  

or  

putting x=3

putting x=-1

Since a length can have only positive values QS=27 units.

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.

d i think

step-by-step explanation: