Given two points, say points
A and
B, we can use the slope formula to find the slop of the line:
If
A has coordinates of
(w,c) and
B has coordinates of
(y,z), we can find the slope.
![\frac{z-c[tex]y-w= \frac{z-x}{y-w} (x-c)](https://tex.z-dn.net/?f=%20%5Cfrac%7Bz-c%5Btex%5Dy-w%3D%20%5Cfrac%7Bz-x%7D%7By-w%7D%20%28x-c%29)
}{y-w} [/tex]
Now we can say that we can use the point slope form formula:
Now we can substitute
m for the slope, and use any points to plug in
and
.
Hope this helps! :^)
Answer:
The Mean Absolute Deviation is 11
Step-by-step explanation:
Given:
325, 310, 289, 288, 285, 285, 285, 280, 280 and 273
Mean = 290
Required:
Calculate the Mean Absolute Deviation
Provided that we have the value of the mean to be 290 from the question; the following steps will calculate the Mean Absolute Deviation
Step 1: Subtract the mean weight from each weight
325 - 290 = 35
310 - 290 = 20
289 - 290 = -1
288 - 290 = -2
285 - 290 = -5
285 - 290 = -5
285 - 290 = -5
280 - 290 = -10
280 - 290 = -10
273 - 290 = -17
Step 2: Calculate the absolute value of the each results above
|35| = 35
|20| = 20
|-1| = 1
|-2| = 2
|-5| = 5
|-5| = 5
|-5| = 5
|-10| = 10
|-10| = 10
|-17| = 17
Step 3: Calculate the mean of the data above
Mean Absolute Value = 
Mean Absolute Value = 
Mean Absolute Value = 11
Hence, the Mean Absolute Deviation is 11
First we get the value of y in terms of x
We have 2x + y + 9 = 0
We transpose 2x and 9 to the other side so we could get the value of y being:
y = - 2x - 9
Now that we have the value of y we can substitute it to the first equation
6x - 3y + 10 = 0
6x - 3 (-2x - 9) + 10 = 0
Simplifying the inside of the parentheses we would have
6x - (3)(-2x) - (3)(-9) + 10 =0
6x + 6x + 27 + 10 = 0
Combining similar terms we would get
12x + 37 = 0
We transpose 37 to the other side for easier simplification
12x = - 37
We divide both sides by 12 to get the value of x
12x/12 = - 37/12
Since 12/12 is equal to 1 our value of x would be
x = - 37/12
Or simply x = - 3.0833
Now that we know the value of x we can use it to obtain the value of y
y = - 2x - 9
y = - 2(-37/12) - 9
y = 37/6 - 9
y = - 17/6
Or in decimal y = - 2.8333
Final values of x and y would be
x = - 3.0833
y = - 2.8333
Answer:
You add 12.5+12.5+3.02+3.02 which equals 31.04
Step-by-step explanation:
Move all y terms to both sides
subtract both sides by 3xy
<span>y=3xy-1
y - 3xy = -1
factor out y from the left side: y(1 - 3x) = -1
divide both sides by (1-3x)
y = -1/(1-3x)
</span>
