Answer:
- the definition needs to restrict all of the points to a plane
Step-by-step explanation:
In 3-dimensional Euclidean space, a sphere is the set of all points the same distance from a given point. The given definition of a circle only applies when the given point and the solution set are in the same plane, and the geometry is Euclidean.
Answer:
<u>Residue</u>
Step-by-step explanation:
Let a and b be integers. We define a mod b to be the residue of dividing a by b. For example, if a evenly divides b, then a mod b=0, 20 mod 6= 2. The modulus operator is widely used in programming, and it is convenient when a and b are large numbers.
a mod b is always a nonnegative integer. In fact, 0≤ a mod b≤ |b-1| by the division algorithm. a and b can also be negative integers. Since 8=-(-5)+3 then 8 mod -5= 3.
As a final example, some known properties can be rewritten in terms of mod. a mod 2=0 if and only if a is even. a mod 2=1 if and only if a is odd.
There should be a total of 3 zeros because the largest exponent is 3.
Answer:
C
Step-by-step explanation:
Area of a circle is calculated by squaring the radius then multiplying by pi. Eight squared is sixty-four, then multiplied by pi you get 201.