Leanne is trying to convert x^2+4x-6=0 the standard form to vertex form by completing the square which equation shows the correct form

In vertex form we have y =      (x + 2)^2 - 10

Step-by-step explanation:

x^2+4x-6=0 is in standard form; we want it in the form y - k = a(x - h)^2.

Complete the square within  x^2+4x-6=0

We get  x^2 + 4x - 6 = 0  =>  x^2 + 4x + 4 - 4 - 6, or

                                          y =      (x + 2)^2 - 10

Comparing this to              y = (x - h)^2 - 10, we see that the vertex is at

                                            (h, k) :  (-2, -10)

Step-by-step explanation:

Let 0 = y to not mix up the numbers.

we are trying to get to this form:

Let's group the variables to make it easier for us to complete the square.

Complete the square by taking the number next to the x variable (4) divide it by 2 (4/2=2) and square it ()

Add this.

You also have to add it to the right side, but since we're looking to isolate y again, we're going to have to move it to the left side eventually; therefore, we can simply change the sign and add it to the left side.

In other words, instead of doing this:

I'm going to directly say the opposite of +4 is -4

Now factor the parentheses and combine like terms;

And like we said y = 0, so change that...

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 answer is a. q=6,r=6√2

step-by-step explanation: