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2 answers:
Answer: See below.
Step-by-step explanation:
Let's go number by number.
Rational pretty much means you can put it into a fraction of whole numbers.
The first number is -81,572.
- This number is <u>rational</u> because it can be put into a fraction (
) that is made up of whole numbers.
The second number is .
- This number is <u>irrational</u> because it cannot be put into a fraction of whole numbers.
- Keep in mind that most squareroots are irrational. Especially those that don't equal a whole number.
The third number is 5.636336333
- There is a pattern so the number is <u>rational</u>.
- Usually a pattrn means it can be put into a fraction.
The fourth number is . This equals 4 if you solve it out.
- Since we just get 4, that certainly can be put into a fraction of whole numbers, so this is <u>rational.</u>
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<u>Given</u>:
The equation of the circle is
We need to determine the center and radius of the circle.
<u>Center</u>:
The general form of the equation of the circle is
where (h,k) is the center of the circle and r is the radius.
Let us compare the general form of the equation of the circle with the given equation to determine the center.
The given equation can be written as,
Comparing the two equations, we get;
(h,k) = (0,-4)
Therefore, the center of the circle is (0,-4)
<u>Radius:</u>
Let us compare the general form of the equation of the circle with the given equation to determine the radius.
Hence, the given equation can be written as,
Comparing the two equation, we get;
Thus, the radius of the circle is 8