The rate of change is the slope of this line
m = (y2 - y1)/(x2 - x1) = (13 - 5)/(4 - 0) = 8/4 = 2
Answer:
y=-3/4x-9
Step-by-step explanation:
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Answer:
The endpoint coordinates are (3,12)
Step-by-step explanation:
You multiply 4 by 2 which gives you 8 and write the equation
then you subtract 5 from 8 to get 3 for the x coordinate.
You multiply 3 by 2 which gives 6 and writhe the equation
then you substitute the -6 for +6 and add +6 and 6 to get 12 for the y coordinate.
To check use the midpoint formula with coordinates D and your endpoint coordinates
and you get the answer for the midpoint which is (4,3)
Answer:
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- <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
Given:
The equation for the area of the first option is:

Where x is the side length of the current square park.
To find:
The side length of the current square park.
Solution:
We have,

It can be written as:

Splitting the middle term, we get




We know that the side length of a park cannot be negative. So, the only possible value of x is 320.
Therefore, the most direct method to solve the given equation is splitting the middle term and the side length of the current square park is 320 meters.