Answer:
B. -2, -1/2, 1, 3
Step-by-step explanation:
Average is usually the mean, which is the sum of the values divided by the number of values added.
(86+77+82+80+80)/5
405/5
81
Final answer: 81
Answer:
![(x+1)^2+(y+4)^2=(6\sqrt{2})^2](https://tex.z-dn.net/?f=%28x%2B1%29%5E2%2B%28y%2B4%29%5E2%3D%286%5Csqrt%7B2%7D%29%5E2)
Step-by-step explanation:
The length of the diameter
will be the distance between ![(5,-10)\ and\ (-7,2).](https://tex.z-dn.net/?f=%285%2C-10%29%5C%20and%5C%20%28-7%2C2%29.)
![d=\sqrt{(2-(-10))^2+(-7-5)^2}=\sqrt{(12)^2+(-12)^2}=\sqrt{144+144}=\sqrt{288}\\\\d=12\sqrt{2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%282-%28-10%29%29%5E2%2B%28-7-5%29%5E2%7D%3D%5Csqrt%7B%2812%29%5E2%2B%28-12%29%5E2%7D%3D%5Csqrt%7B144%2B144%7D%3D%5Csqrt%7B288%7D%5C%5C%5C%5Cd%3D12%5Csqrt%7B2%7D)
Radius:
![radius(r)=\frac{diameter}{2}=\frac{12\sqrt{2}}{2}=6\sqrt{2}](https://tex.z-dn.net/?f=radius%28r%29%3D%5Cfrac%7Bdiameter%7D%7B2%7D%3D%5Cfrac%7B12%5Csqrt%7B2%7D%7D%7B2%7D%3D6%5Csqrt%7B2%7D)
Centre:
Let
be centre of the circle.
Centre will be the mid point of end points of diameter.
![a=\frac{5-7}{2}=\frac{-2}{2}=-1\\\\b=\frac{-10+2}{2}=\frac{-8}{2}=-4\\\\Centre=(-1,-4)](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B5-7%7D%7B2%7D%3D%5Cfrac%7B-2%7D%7B2%7D%3D-1%5C%5C%5C%5Cb%3D%5Cfrac%7B-10%2B2%7D%7B2%7D%3D%5Cfrac%7B-8%7D%7B2%7D%3D-4%5C%5C%5C%5CCentre%3D%28-1%2C-4%29)
Equation of circle:
If
be centre and
be the radius.
Equation of circle: ![(x-a)^2+(y-b)^2=r^2](https://tex.z-dn.net/?f=%28x-a%29%5E2%2B%28y-b%29%5E2%3Dr%5E2)
Here ![(a,b)=(-1,-4)\ and\ r=6\sqrt{2}](https://tex.z-dn.net/?f=%28a%2Cb%29%3D%28-1%2C-4%29%5C%20and%5C%20r%3D6%5Csqrt%7B2%7D)
![(x-(-1))^2+(y-(4))^2=(6\sqrt{2})^2\\(x+1)^2+(y+4)^2=(6\sqrt{2})^2](https://tex.z-dn.net/?f=%28x-%28-1%29%29%5E2%2B%28y-%284%29%29%5E2%3D%286%5Csqrt%7B2%7D%29%5E2%5C%5C%28x%2B1%29%5E2%2B%28y%2B4%29%5E2%3D%286%5Csqrt%7B2%7D%29%5E2)
The answer is y because
5-3 =2
5-4=1
5-5=0
5-6=-1