Answer:
x = 2 ± (i)√5 (Answer b)
Step-by-step explanation:
x²-4x+9=0 can be solved in a variety of ways; the first two that come to mind that are also appropriate are (1) completing the square and (2) using the quadratic formula.
Completing the square is fast here:
Rewrite x²-4x+9=0 as x²-4x +9=0
Identify the coefficient of the x term: it is -4
Take half of that, obtaining -2
Square this result, obtaining 4
Add 4 to x²-4x +9=0, in the blank space in the middle, and then subtract 4: x²-4x +4 -4 +9=0
Rewrite x²-4x +4 as the square of a binomial:
(x - 2)² - 4 + 9 = 0 → (x - 2)² = -5
Take the square root of both sides: x - 2 = ±√(-5) = ± (i)√5
Then x = 2 ± (i)√5
In the statement regarding outlier we have to fill "most" to complete the statement.
Given An outlier is a data value that is numerically distant from_________ of the other data points in a set of data.
We have to fill the blank. We can fill " most" in the blank.
If a number in data is more than 1.5 times the length of the box away from either of the upper and lower quartile of the distribution then that number is said to be an outlier.
There are two types of outliers: upper outliers, lower.
If any values in the data set are greater than the upper boundary then those values are the upper outliers.
If any values in the data set are less than the lower boundary then those values are called lower outliers.
Lower quartile =
Upper quartile=
Hence we have to use most in the sentence to complete it.
Learn more about outliers at brainly.com/question/3631910
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Answer is BF...hope this helps
Answer:
The rectangles are not similar
Step-by-step explanation:
In order to check whether they are similar, we need to take the ratio of their similar sides and ensure they are equal to a constant k.
Hence;
AB/PL = AD/LM = k
32/26 = 18/12 = k
16/13 = 9/6 = k
Since the scale factor is not the same, hence the rectangles are not the same.
