Answer:
.
(Expand to obtain an equivalent expression for the sphere:
)
Step-by-step explanation:
Apply the Pythagorean Theorem to find the distance between these two endpoints:
.
Since the two endpoints form a diameter of the sphere, the distance between them would be equal to the diameter of the sphere. The radius of a sphere is one-half of its diameter. In this case, that would be equal to:
.
In a sphere, the midpoint of every diameter would be the center of the sphere. Each component of the midpoint of a segment (such as the diameter in this question) is equal to the arithmetic mean of that component of the two endpoints. In other words, the midpoint of a segment between
and
would be:
.
In this case, the midpoint of the diameter, which is the same as the center of the sphere, would be at:
.
The equation for a sphere of radius
and center
would be:
.
In this case, the equation would be:
.
Simplify to obtain:
.
Expand the squares and simplify to obtain:
.
Answer:
2
Step-by-step explanation:
4/2=2
Answer:





Step-by-step explanation:
The figure has been attached, to complement the question.



Given that J is the centroid, it means that J divides sides CD, DE and CE into two equal parts respectively and as such the following relationship exist:



Solving (a): DG
If
, then



Make DG the subject

Substitute 52 for DE


Solving (b): GE
If
, then


Solving (c): DF

So:

Solving (d): CH


Solving (e): CE
If
, then


