Answer:

Step-by-step explanation:
THe slope of a straight line is given by the formula:

Where
m is the slope
x_1 and y_1 are the first coordinate pair points [(2,3)]
x_2 and y_2 are the second coordinate pair point [(8,6)]
So, we know that:
x_1 = 2
x_2 = 8
y_1 = 3
y_2 = 6
Now we substitute and find the value of slope to be:

9514 1404 393
Answer:
Step-by-step explanation:
A Hamiltonian circuit uses each vertex once and only once. (may repeat edges)
An Euler circuit uses each edge once and only once. (may repeat vertices)
Answer:
Step-by-step explanation:
x-y=7
-3x+9y=-39
Divide the second equation by 3
-x +3y = -13
Add this to the first equation
x-y=7
-x +3y = -13
----------------------
0x +2y = -6
Divide by 2
2y/2 = -6/2
y = -3
Now find x
x-y = 7
x -(-3) = 7
x+3 = 7
Subtract 3 from each side
x = 4
(4,-3)
Or by substitution
x-y=7
solve for x
x = 7+y
-3x+9y=-39
Substitute y+7 in for x
-3(7+y) +9y = -39
Distribute
-21 -3y +9y = -39
Combine like terms
-21 +6y = -39
Add 21 to each side
6y = -18
Answer:
5
Step-by-step explanation:
[6²-4(6)+1]-[3²-4(3)+1]/6-3 =5
Alright, so the first thing I would do is find the LCM of the dividends, which is 20. So we have 10 15/20 and 6 16/20. You can either leave it there and just carry the one (20 in this case) for 3 19/20.
If you multiply 10 by 20 and add 15, or 6 by 20 and add 16 (which I think is easier) you get 215/20 - 136/20 = 79/20. It can be simplified from here if you teacher wants it in the future.