Answer is X=2
Merry Christmas
Answer:
Step-by-step explanation:
The median means the number in the middle, I look at the word median and think mid! So by ordering the numbers from highest to lowest you cross one off from each end back and forth! So you cross off 45, then 28, 44 then 30, 42 then 35 leaving one last number 40!! That is your median :)
The equation of a sphere is:
(x – h)^2 + (y – k)^2 + (z – l)^2 = r^2
where h, k and l are the coordinates of the center of the
sphere
Using the midpoint formula, the coordinate of the center
is:
h = (-4 + 6) / 2 = 1
k = (7 + -5) / 2 = 1
l = (6 + 7) / 2 = 6.5
so the equation becomes:
(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = r^2
we plug in any point, in this case point P to solve for r:
(-4 -1)^2 + (7 – 1)^2 + (6 - 6.5)^2 = r^2
r^2 = 61.25
So the full equation is:
<span>(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = 61.25</span>
You can do this by completing the square
x^2 - 14x + y^2 + 8 = 16
(x - 7)^2 - 49 + (y + 4)^2 - 16 = 16
(x - 7)^2 + (y + 4)^2 = 16 + 16 + 49 = 81
so the center is at (7 , -4) and radius = sqrt81 = 9
I believe the radius is 5 <span />
