Answer:
Equation of a line is y = mx + c
where
m = slope
c = y intercept
y = 1/6x - 3
Comparing with the above formula
m = 1/6
Since the lines are parallel their slope are also the same
So the equation of the line using point (-4,2) is
y - 2 = 1/6( x + 4)
y - 2 = 1/6x + 2/3
y = 1/6x + 2/3 + 2
y = 1/6x + 8/3
Hope this helps
With the facts you got here, you can make the following equation:
x*(x+2)=24
x^2+2x=24
x^2+2x-24=0
Then you can use the following formula (which you might have seen before):
x = (-b +/- sqrt(b^2-4ac))/2a
where
ax^2+bx+c=0
(-2 +/- sqrt(4+96))/2
(-2 +/- 10)/2
x_1 = 4
x_2 = -6
Answer:
12
Step-by-step explanation:
Length of one of the boards = 8 feet
Converting to inches

One cut is 16 inches
So, we divide the length of the board by 16

So, one board is cut into 6 pieces.
The other board is also 8 feet long.
So, the number of pieces the other board is cut into is also 6.
Hence, a total of
pieces of each 16 inches long can be cut from the two boards.
Here is dependence between scores and x-values:

where
is the mean,
is standard deviation and i changes from 1 to 2.
1. When i=1,
then

2. When i=2,
then

Now solve the system of equations:


Subtract first equation from the second:

Then

Answer: the mean is 62, the standard deviation is 20.
3k + 10 = 22
3k = 22-10
3k = 12
k = 12/3
k = 4