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:
I would use quaro is is faster.
Step-by-step explanation:
Formula
Volume = A_base * height
Solution
Synthetic Division always changes signs of the divisor. Also you add whereas in long division you subtract.
-2 || 2 + 9 - 8 - 36
-4 -10 36
===================
2 5 -18 0
You can eliminate A and B. You are never left with the same power at the beginning when you do a division.
What you are left with is
A_Base = 2x^2 + 5x - 18
Answer: D
Answer:
The situation is Multiplicative.
The equation will be 
Step-by-step explanation:
We are given the table:
Input (x) 5 8 11
Output (y) 10 16 22
Looking at the table, we see that the value of x is doubled to get value of y
Looking at the trend: 5(2) = 10
8(2) = 16
11(2) = 22
The value of x is multiplies by 2 to get value of y.
So, The situation is Multiplicative.
Now, The equation will be 
because we saw the trend, that every value of x is multiplied by 2 to get value of y.
If in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D, then triangle ABC is congruent to triangle DEF. Using words: If 3 sides in one triangle are congruent to 3 sides of a second triangle, then the triangles are congruent.