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:
50 cupcakes, 150 cookies
Step-by-step explanation:
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Answer:
70
Step-by-step explanation:
Answer:
second marble is blue and first marble is white is 
Step-by-step explanation:
given data
two marbles
box = 1 blue, 3 white, 2 green, and 2 red marbles
solution
we get here second marble is blue and given that the first marble is white
= P(3c1 × 1c1) ÷ P(3c1 × 7c1) ................................................1
= 1c1 ÷ 7c1
= 1 ÷ 7
so second marble is blue and first marble is white is 