Answer:
![(x+1)^2+(y-1)^2=58](https://tex.z-dn.net/?f=%28x%2B1%29%5E2%2B%28y-1%29%5E2%3D58)
Step-by-step explanation:
To find the equation of this circle, we must know the center and the radius.
We can find the radius by dividing the value of the distance formula by 2 (since
):
![d=\sqrt{(-3-1)^2+(6-(-4))^2}=\sqrt{116}\\r=d/2=\frac{\sqrt{116}}{2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-3-1%29%5E2%2B%286-%28-4%29%29%5E2%7D%3D%5Csqrt%7B116%7D%5C%5Cr%3Dd%2F2%3D%5Cfrac%7B%5Csqrt%7B116%7D%7D%7B2%7D)
We can then find the center of the circle by averaging the coordinates:
![\frac{1+(-3)}{2}=-1](https://tex.z-dn.net/?f=%5Cfrac%7B1%2B%28-3%29%7D%7B2%7D%3D-1)
![\frac{-4+6}{2}=1](https://tex.z-dn.net/?f=%5Cfrac%7B-4%2B6%7D%7B2%7D%3D1)
Then, we substitute these values into the equation of a circle:
![(x-(-1))^2+(y-1)^2=(\frac{\sqrt{116}}{2})^2\\(x+1)^2+(y-1)^2=58](https://tex.z-dn.net/?f=%28x-%28-1%29%29%5E2%2B%28y-1%29%5E2%3D%28%5Cfrac%7B%5Csqrt%7B116%7D%7D%7B2%7D%29%5E2%5C%5C%28x%2B1%29%5E2%2B%28y-1%29%5E2%3D58)
Answer:
Morning's average rate = 50 mph, and Afternoon's average rate = 25 mph.
Step-by-step explanation:
Suppose he drove 150 miles for X hours, then his average rate in the morning was (150/X) mph.
Given that he spent 5 hours in driving.
And he drove 50 miles for (5-X) hours, then his average rate in the afternoon was 50/(5-X) mph.
Given that his average rate in the morning was twice his average rate in the afternoon.
(150/x) = 2 * 50/(5-x)
150/x = 100/(5-x)
Cross multiplying terms, we get:-
150*(5-x) = 100*x
750 - 150x = 100x
750 = 100x + 150x
750 = 250x
x = 750/250 = 3.
It means he spent 3 hours in the morning and 2 hours in the afternoon.
So morning's average rate = 150/3 = 50 mph.
and afternoon's average rate = 50/(5-3) = 25 mph.
Answer:
55 is the answer hope it helps...
Answer:
f(5) = 14
Step-by-step explanation:
Just replace the variable "x" with "5":
f(5) = 2×5 + 4 = 14
Its 37.5 just device them and round to the nearest tenth.