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a student is given that y varies directly with x^2 and that x = 2 when y = 8. correct the student’s claim that x = 3 when y = 9 then. explain your reasoning.

see explanation

Step-by-step explanation:

Given that y varies directly with x² then the equation relation them is

y = kx² ← k is the constant of variation

To find k use the condition x = 2 when y = 8

k = = = 2

y = 2x² ← equation of variation

When y = 9, then

2x² = 9 ( divide both sides by 2 )

x² = = 4.5 ( take the square root of both sides )

x = ≈ 2.12 ≠ 3

step-by-step explanation:

. your answer will contain x - and y -terms. (1 point) x ( ¿¿ 2 − 7 ) 2 +( y 2 − 9 ) 2 √ ¿ 12. what is the distance from the directrix (the crocodile river) to the point ( x , y )? write this equation. your answer will contain a y -term.

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.