Answer:

Step-by-step explanation:
Given




Required
Determine their next meeting time
First, we need to get their unit rate in minutes per round


Convert 360 seconds to minutes



Divide by 2/2

So, we have:



Next, is to determine the LCM of 18, 6 and 2



Their LCM is:


This means that they will meet 18 minutes after their initial time of departure.
So:


Answer:
Step-by-step explanation:
-5x + 35 = 40
Subract 35 from both sides -5x + 35 - 35 = 40 - 35 = (-5x = 5)
Divide -5 from both sides -5x / -5 = 5 / -5 =
x = -1
Answer:
2/15
Step-by-step explanation:
2/3 / 5/1 =
2/3 x 1/5 = 2/15
We have two points describing the diameter of a circumference, these are:

Recall that the equation for the standard form of a circle is:

Where (h,k) is the coordinate of the center of the circle, to find this coordinate, we find the midpoint of the diameter, that is, the midpoint between points A and B.
For this we use the following equation:

Now, we replace and solve:

The center of the circle is (-8,-7), so:

On the other hand, we must find the radius of the circle, remember that the radius of a circle goes from the center of the circumference to a point on its arc, for this we use the following equation:

In this case, we will solve the delta with the center coordinate and the B coordinate.

Therefore, the equation for the standard form of a circle is:

In conclusion, the equation is the following: