Answer:
The diameter would be 16
Step-by-step explanation:
The area of a circle is a=×π. Now just plug in the values you have which is you area. 201=
×π now divide by pi on both sides you that you get about 64=
. Now find the square root on both sides which will then give you 8 as your radius. To find diameter from radius you have to multiply by 2. 8*2=16
Answer:
x ∈ (-∞, -1) ∪ (1, ∞)
Step-by-step explanation:
To solve this problem we must factor the expression that is shown in the denominator of the inequality.
So, we have:
So the roots are:
Therefore we can write the expression in the following way:
Now the expression is as follows:
Now we use the study of signs to solve this inequality.
We have 3 roots for the polynomials that make up the expression:
We know that the first two are not allowed because they make the denominator zero.
Observe the attached image.
Note that:
when
when
and
is always
Finally after the study of signs we can reach the conclusion that:
x ∈ (-∞, -1) ∪ (1, 2] ∪ [2, ∞)
This is the same as
x ∈ (-∞, -1) ∪ (1, ∞)
