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:
.
Short answer: Yes.
Each member of the sequence is multiplied by 5 to get to the next member of the sequence.
Find the general equation.
tn = a*5^(n - 1)
Example
t4 = 1*5^(4 - 1)
t4 = 1*5^3
t4 = 125 just as the sequence shows.
t5 = 1^5^4
t5 = 625 Any member of the sequence can be found this way.
Step-by-step explanation:
3=-x+5
x=2
................
Answer:B
Step-by-step explanation:
We conclude that f(x) is odd, so the correct option is A.
<h3>
Which statement is true?</h3>
f(x) is an odd function if:
f(-x) = -f(x).
f(x) is an even function if:
f(x) = f(-x).
In this case, we know that the function f(x) has the points:
{ (-2, 8), (-1, -3.5), (0, 0), (1, 3.5), (2, -8)}
As you can see:
f(-2) = 8
f(2) = -8
Then:
f(-2) = -f(2)
Also:
f(-1) = -3.5
f(1) = 3.5
Then:
f(-1) = -f(1).
So we conclude that this is an odd function, and the correct option is A.
If you want to learn more about odd functions:
brainly.com/question/2284364
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