Answer: The circumference of a circle can be calculated using: C = 2
π × r
Step-by-step explanation: From the above formula the radius can be calculated as:
r = C
/2
π
So in this situation we have:
r = 6
π
/2
π = 3
For this problem plug in the given x and y values:
For the first one: No
second one: No
third one: Yes
fourth one: No
Option b is the correct answer
Answer:
1/2, 3
Step-by-step explanation:
This is a pretty involved problem, so I'm going to start by laying out two facts that our going to help us get there.
- The Fundamental Theorem of Algebra tells us that any polynomial has <em>as many zeroes as its degree</em>. Our function f(x) has a degree of 4, so we'll have 4 zeroes. Also,
- Complex zeroes come in pairs. Specifically, they come in <em>conjugate pairs</em>. If -2i is a zero, 2i must be a zero, too. The "why" is beyond the scope of this response, but this result is called the "complex conjugate root theorem".
In 2., I mentioned that both -2i and 2i must be zeroes of f(x). This means that both and are factors of f(x), and furthermore, their product, , is <em>also</em> a factor. To see what's left after we factor out that product, we can use polynomial long division to find that
I'll go through to steps to factor that second expression below:
Solving both of the expressions when f(x) = 0 gets us our final two zeroes:
So, the remaining zeroes are 1/2 and 3.
Answer:
nah lol
Step-by-step explanation: