Answer:
x = 3.3 and -0.3
Step-by-step explanation:
Given the expression
1/x-4 + x/x-2=2/x^2-6x+8
Find the LCM
x-2+x(x-4)/(x-4)(x-2) = 2/x^2-6x+8
Since the denominator, are the same they cancels out
x +1 + x(x-4) = 2
x+1 + x²-4x = 2
x²-3x + 1 - 2 = 0
x² - 3x - 1 = 0
Factorize
x =3±√9+4/2
x =3±√13/2
x = 3±3.6/2
x= 6.6/2 and -0.6/2
x = 3.3 and -0.3
Answer:
Step-by-step explanation:
In going from (5, 5) to (10, 8), x (the run) increases by 5 and y (the rise) increases by 3. Thus, the slope of the line connecting the first two points is m = 3/5.
In going from (1, 13) to (4, 8), x (the run) increases by 3 and y (the rise) decreases by 5. Thus, the slope of the line connecting the first two points is m = -5/3
Because these results are negative reciprocals of one another, the two lines are PERPENDICULAR to one another.
Answer:
Hence MAD=0.8
Step-by-step explanation:
<u>MAD-</u>
MAD is also known as Mean Absolute Deviation.
We find MAD by the following steps:
- Firstly we find the mean of the data
- Then we subtract each entry from the mean to obtain the deviation
- Then find the absolute value of the deviation which is also known as absolute deviation.
- Finally we find the mean of the absolute deviation.
Now we are given a table of the absolute deviation we just need to calculate the mean of the absolute deviation.
The absolute deviation is given as:
1 3 1 0 0 1 0 0 1 1
The mean of this is calculated as:
Hence, MAD=0.8
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