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>
35% = .35.
First, you make 35% into a fraction 35/100. Then make it into simplified form.
35 divided by 5 and 100 divided by 5 35/5 = 7 and 100/5 =20.
So,
35%=.35=35/100=7/20
7/20
is your answer
Answer: 64
Step-by-step explanation:
Answer:
88 square units
Step-by-step explanation:
Answer:
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