Answer:
i think A
Step-by-step explanation:
Simplifying
10 = 2r + -8
Reorder the terms:
10 = -8 + 2r
Solving
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-2r' to each side of the equation.
10 + -2r = -8 + 2r + -2r
Combine like terms: 2r + -2r = 0
10 + -2r = -8 + 0
10 + -2r = -8
Add '-10' to each side of the equation.
10 + -10 + -2r = -8 + -10
Combine like terms: 10 + -10 = 0
0 + -2r = -8 + -10
-2r = -8 + -10
Combine like terms: -8 + -10 = -18
-2r = -18
Divide each side by '-2'.
r = 9
Answer: The equation of the sphere is:
(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2
The centre of the sphere is the midpoint of the diameter, which is
1/2
[(-4,7,6) + (8,-3,5)] =(2,2,5/2)
The length of the diameter is
=sqrt |(8,-3,5) - (-4,7,6)|^2
=sqrt (12^2 + (-10)^2 + (-1)^2)
=sqrt (144+100+1)
=sqrt(245)
so the radius of
the sphere is:
1/2(sqrt(245)) = sqrt(245)/2.
The equation of the sphere is:
Answer: 327 1/3
Hope this helps! :)
