Answer:
M = -2
b = -10
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
m = (-8 -0)/(-1- -5)
= (-8-0)/(-1+5)
= -8/4
= -2
We now want to find the y intercept
y = mx+b is the slope intercept form of the equation
y = -2x+b
Using the point (-5,0)
0 = -2(-5) +b
0 = 10+b
Subtract 10 from each side
-10 = 10-10+b
-10 =b
The y intercept is -10
y= -2x-10
Once ur lines are graphed, the solution is where the lines intersect. So by graphing however many equations u have, the point where they intersect is the solution....unless of course u have parallel lines, then there is no solution. And if ur lines are coincident, the same line on top of each other, then there is infinite solutions.
Answer: 1440
Step-by-step explanation:
To arrange 3 boys and 4 girls such that no two boys are together.
Since boys should be arranged between the girls.
So first arrange the girls.
Assume that the girls are placed, then there will be 5 spaces left for 3 boys.
The number of combinations to fill these places = 
Also, 3 boys can arrange themselves in 3! =3 x 2 x 1 = 6 ways
4 girls can arrange themselves in 4! = 4x 3 x 2 x 1 = 24 ways
Then, the total number of arrangements = 10 x 6 x 24 = 1440
Hence, the required number of arrangements = 1440
Answer:
Part a) 
Part b) 
Step-by-step explanation:
Part a) How many gallons of water will be in the pool after 20 minutes?
we know that
Using proportion

Part b) How many gallons of water will be in the pool after 1 hour
we know that
1 hour = 60 minutes
Using proportion

(4,7) because 3•4 = 12 and 12+7 = 19