The circumcenter is where the perpendicular bisectors meet.
if you sketch the triangle, you will see that it is a right triangle, with the right angle vertex at (2,1)
one perpendicular bisector is x=1, another perpendicular bisector is y=3
they meet at (1,3)
so (1,3) is the answer.
Answer:
Step-by-step explanation:
<u>Time needed if they work together:</u>
- 1 / (1/11 + 1/9) =
- 1/ (20 / 99) =
- 99/20 ≈ 5 hours
Answer:
-3 < x
Step-by-step explanation:
15 > -5x
Divide each side by -5, remembering to flip the inequality since we are dividing by a negative
15/-5 < -5x/-5
-3 < x
Answer:
240/sqrt(pi)
Step-by-step explanation:
We know that the area of a circle is $pi*r^2$, and we also know that the diameter of a circle is equal to $2r$.
Let's first make an equation for this problem.
pi*r^2=14400
Dividing both sides by pi, we get
r^2=14400/pi
Now, taking the square root of both sides gives us
r=120/sqrt(pi)
We are trying to find the diameter, which is twice the size of the radius.
Thus, we multiply the equation by two.
2r=240/sqrt(pi)
After 10 hours the temperature is shown on the graph as 30 degrees.
50 degrees - 30 degrees = 20 degrees.
The temperature dropped 20 degrees in 10 hours.
Divide the change by the time:
20 degrees / 10 hours = 2 degrees per hour.
Because the temperature dropped, the change would be negative.
The answer is D. -2 degrees per hour.
