Answer:
Option c
Step-by-step explanation:
Answer: x= -1
Step-by-step explanation:
First you take 4 and times it to x and -1, so 4 times x will just be 4x while 4 times -1 will be -4. Then it will look like this (4x - 4), you will have to make the x by itself and to do that is dividing it by 4 on both sides, so 4x/4= x while -4/4= -1. The answer is x= -1
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:
.
That both (along with the mean) help the data be described the data's spread, which can be the slope if only two points.