The general form of the equation of a circle is,
x² + y² + Dx + Ey + F = 0, where D, E, F are constants.
The given equation is 7x² + 7y² − 28x + 42y − 35 = 0. So, to convert this equation into a general form we just need to get rid of the leading coefficient 7.
Hence, divide both sides of the equation by 7. So,
x² + y² − 4x + 6y − 5=0.
So, the general form of the equation is x² + y² − 4x + 6y − 5=0.
Answer:
11.81 minutes
Step-by-step explanation:
Here is a simple step-by-step explaination of how to solve this word problem:
Since the truck has 2,400L in it to begin with, the first part of our equation will be 2,400L
Next we know that the water in the truck decreases at a <u>rate</u> of 110L/min, or <u>Liters per minute</u>.
So we will put that in the equation:
Now that we have our equation set up, its time to solve.
To figure out how much water it needs to lose in <u>total</u> to end up with 1100 L left, we subtract 1,100 from 2,400.
Now we can take that number and divide it by how many liters per minute were lost.
So the total amount of time it took for the truck to have 1,100 L left is 11.81 minutes. Your answer would be
B. min
Hope this helps! : )