Answer:
Part 1
its asking you to find the slope of the given lines by using the points that they have plotted on the lines
first you need to figure out what the points are, then insert it into the formula
the formula for this would be 
Part 2:
its asking you to find the slope using the points that are written in each box
again, just substitute it into the formula
the formula for this would be
-2x - 2y = 4
x + 5y = 10
It looks like the method it would be easiest to use to solve this system is substitution. To use substitution, let us isolate x in the second equation:
x + 5y = 10
x = -5y + 10
---
-2x - 2y = 4
-2(-5y + 10) - 2y = 4
10y - 20 - 2y = 4
8y - 20 = 4
8y = 24
y = 3
Now we can substitute back into the second equation to find x:
x + 5y = 10
x + 5(3) = 10
x + 15 = 10
x = -5
Finally, to check our work:
-2(-5) - 2(3) = 4 --> 10 - 6 = 4 <--True
-5 + 5(3) = 10 --> -5 + 15 = 10 <--True
Answer:
y = 3
x = -5
What you would do is you would make sure the slope of the diagonals are congruent
Answer:
x = -20
Step-by-step explanation:
First we can rearrange the equation:
-18 = -28
2 * - 18 = -28 * 2
The 2s canel out
x - 36 = - 56
x = -20
Answer:
<em />
- <em>It takes</em><u> 2.5 minutes </u><em>to fill the tank.</em>
Explanation:
The net speed or net rate for filling the 10-liters tank is equal to the speed the tap is filling less the speed the water is leaking through the hole located at the bottom of the tank:
- Net rate = rate of filling - rate of leaking
- Net rate = 5 liters/minute - 1 liter/minute
- Net rate = 4 liters/minute
Thus, consiedering the tank is empty at the beginning, the time is:
- Time = Volume of the tank / net rate of filling
- Time = 10 liters / (4liters/minute)
- Time = 2.5 minutes ← answer
