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>
Answer:
The 1st and 4th statements are true.
S= a/4 + 8u
S - 8u = a/4 (First you subtract 8u from both sides)
4(S - 8u) = a ( Then you multiply both sides by 4)
Final answer:
4(S - 8u) = a
1 Simplify
<span><span>2300−2500+3300−2600+6250</span>
2 Simplify
<span><span>6,750
I hope this helps.
Have a awesome day. :)
</span><span>
</span></span><span>
</span></span>
