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victus00 [196]
3 years ago
11

X2 - 12x -6=0 Complete the square

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0

Answer:

(x - 6)^2 = 42

Step-by-step explanation:

Using " ^ " to indicate exponentiation, we have:

x^2 - 12x -6=0

Here the coefficients of this quadratic equation are a = 1, b = -12 and c = -6.

Start by taking HALF of the coefficient of x, that is, HALF of -12.  We get -6.

Next, square this result:  (-6)^2 = 36.

Finally, add this 36 to both sides, obtaining:

x^2 - 12x + 36 - 6 = 36

Rewriting the first three terms, we get:

(x - 6)^2 - 6 = 36, or

(x - 6)^2 = 42   This is the end result to "completing the square."

If you want to go further and actually solve for x, then see below:

Taking the square root of both sides, we get

x - 6 = ±√42

Then x = 6 ± √42, or

x = 6 + √42 and

x = 6 - √42

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BRAINLIESTT ASAP! PLEASE HELP ME :)<br> thanks!
Talja [164]

The answer is [ ΔLJK ≅ ΔOMN ]

Congruent means that the shape is similar in size and shape. Both triangles are the same so we just need to find the order of letters that draw the same triangle. If we draw the triangle LJK and OMN, they both draw the same triangle in the same way with each other. Another way to solve this is that a rule states:

  • If 3 sides of the first triangle are the same of that of the second triangle, they are congruent.

This is also known as the SAS rule.

Best of Luck!

8 0
3 years ago
A researcher at a school of nursing decides to investigate the correlation between a pre- admission HESI examination, high schoo
Nataly_w [17]

Answer: D. Predictive validity

Step-by-step explanation: Predictive validity can be explained as a method of determining the degree or level of correctness of a prediction using pre-existing information or data and values obtained from the actual measurement.

In the scenario above, the researchers investigates the correlation or relationship between the predicted value obtained using a pre- admission HESI examination, high school GPA, and SAT scores and the actual grade received upon completion of the first year. This process is to analyze or determine the validity of our prediction.

4 0
3 years ago
Suppose that you are asked to conduct a study to determine whether smaller class
weeeeeb [17]

Answer:

a. correlation

b. inverse linear correlation exists If the higher the population of students lead to a decrease in test score,

c. yes

Step-by-step explanation:

a. Correlation is a measure of the amount of association existing between two variables.

b. For linear correlation, if points are plotted on a graph and all the points lie on a straight line, then perfect linear correlation is said to exist. When a straight line having a positive gradient can reasonably be drawn through points on a graph positive or direct linear correlation exists,

Similarly,when a straight line having a negative gradient can reasonably be drawn through points on a graph, negative or inverse linear correlation exists,

The results of this determination give values of r lying between +1 and −1, where +1 indicates perfect direct  Positive linear correlation and −1 indicates perfect inverse correlation or Negative linear correlation and 0 indicates that no correlation exists.

If the higher the population of students lead to a decrease in test score, there will definitely be a negative correlation between class size and test score. i.e low class size result in high test score which consequently lead to high performance.

c. YES

A negative correlation means low class size result in high test score which consequently lead to better performance.

8 0
4 years ago
Do the ratios 8:10 and 5:4 form a proportion?
sukhopar [10]
No because 8 is to 5 and 10 is to 4, they aren’t connected. Or you can do 8/10= .8 and 5/4= 1.25, they are not the same
7 0
4 years ago
Read 2 more answers
What are the solutions to the system of equations?
fomenos

Answer:

d

Step-by-step explanation:

y=0^2-5x0+6=0+0+6=6

y=-4x0+6=0+6=6

y=1-5+6=2

y=-4+6=2

6 0
3 years ago
Read 2 more answers
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