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:
Molly's estimation was approximately correct.
Step-by-step explanation:
Given:
Diameter of bike tire = 2 feet
Also Given:
She estimated that for every turn of the tire, the bike traveled about 6 feet.
Estimated Distance traveled = 6 feet
We need to find that whether her estimation reasonable.
Solution:
Now we know that Distance traveled is equal to Circumference of tire.
Since Tire is in circular shape.
We can say that;
Circumference of the tire will be π times diameter.
framing in equation form we get;
Circumference of the tire = 
Now The actual distance traveled is 6.28 feet and Molly estimated as 6 feet.
Hence we can say that Molly's estimation was approximately correct.
The answer is 2.66666666666666666666666667 because 8/3 is 2.6666666666666667 mark as brainiest if i helped
Answer:
10
Step-by-step explanation:
I'm guessing that x2 is an x to the power of 2, so u can rewrite that as:
x^2 - x - 4
from there you can use completing the square, quadratic function, or factoring.
If the x2 is supposed to be 2x then it would just be as follows:
x - 4