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:
I think the answer for the first one is 3 I am not sure about the second one
Day 1 - 100
Day 2 - 50
Day 3 - 25
Day 4 - 15
Day 5 - 10
Day 6 - 5
Day 7 - 2.5
The length and width of the conservatory are both 4.5 meters
<h3>How to determine the length and the width?</h3>
From the figure, we have the following highlights:
- Length = 3 units
- Width = 3 units
A unit = 1.5 meters
So, we have:
Width = Length = 3 * 1.5 meters
Width = Length = 4.5 meters
Hence, the length and width of the conservatory are both 4.5 meters
Read more about dimensions at:
brainly.com/question/27233632
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