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3 years ago

Which list contains ONLY irrational numbers?

Mathematics

2 answers:

Black_prince [1.1K]3 years ago

8 0

The first choice is the contains only irrational number

chubhunter [2.5K]3 years ago

4 0

Answer:

The correct option is A.

Step-by-step explanation:

A real number is called a rational number if it can be represented as p/q, where p and q are two integers and q≠0. For example: 2,4/5, 0.2.

A real number is called an irrational number if it can not be represented as p/q, where p and q are two integers and q≠0. For example: π, √2, 2.333....

In option A, all numbers are irrational numbers.

Therefore option A is correct.

In option B,

$\sqrt{9}=3$

3 is a rational numbers, so √9 is a rational number.

Therefore option B is incorrect.

In option C,

$\sqrt{144}=12$

12 is a rational numbers, so √144 is a rational number.

Therefore option C is incorrect.

In option D,

$\sqrt{121}=11$

11 is a rational numbers, so √121 is a rational number.

Therefore option D is incorrect.

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What is the standard form of the equation of the circle?

lisabon 2012 [21]

The standard form of the equation of a circle is:
$(x - a) {}^{2} + (y - b) {}^{2} = r {}^{2}$
Where the point (a,b) represents the centre and r is the radius. So, given your information, the equation will be:
${(x + 4)}^{2} + {(y + 3)}^{2} = 25$

4 0

3 years ago

Read 2 more answers

Which rational numbers fall between 2.7 and 2.8 on a number line

Slav-nsk [51]

Some rational numbers are
2.71, 2.72, 2.73, 2.74, 2.75, 2.76, 2.77, 2.78, 2.79
2.711, 2.712 2.713....
2.721, 2.722, 2.723....
2.731....
I think you get the point! Hope this helped!

7 0

3 years ago

5. Let A = (x, y), B = {1,2). Find the Cartesian products of A and B: A x B? (Hint: the result will be a set of pairs (a, b) whe

hichkok12 [17]

Answer: A x B = {(x,1), (x,2), (y,1), (y,2)}

Step-by-step explanation:

The Cartesian product of any two sets M and N is the set of all possible ordered pairs such that the elements of M are first values and the elements of N are the second values.

The Cartesian product of sets M and N is denoted by M × N.

For Example : M = {x,y} and N={a,b}

Then , M × N ={(x,a), (x,b), (y,a), (y,b)}

Given : Let A = {x, y}, B = {1,2}

Then , the Cartesian products of A and B will be :

A x B = {(x,1), (x,2), (y,1), (y,2)}

Hence, the Cartesian products of A and B = A x B = {(x,1), (x,2), (y,1), (y,2)}

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3 years ago

Write the sentence as an absolute value inequality, then solve the inequality: A number “n” is more than 9 units from 3

Helga [31]

Answer:

absolute vlaue inequality: |x-3| > 9; solved: x<-6 and x>12

Step-by-step explanation:

I’m going to start this off by saying I learned all this right now by just searching up how to solve an absolute inequality equation and watching one video, so this might not be an accurate explanation. (I’m pretty sure the answer’s right though)

So an absolute value inequality must be written like this:

| x - a | *inequality* b

a is going to be the number that the inequality is centered around, in this case, 3. b will be how far you can deviate from that number, which in this case is 9.

Now, you will have this:

|x - 3| *inequality* 9

Now, to find the inequality, you need to understand the wording. If it says “more than” as it does here, then you would have the greater-than symbol (>). If you have “less than” then you’d have the less-than symbol (<). If the problem says “at least b away” then it would be greater-than-or-equal to (≥), and likewise, if it says “at most b away” then it would be less-than-or-equal-to (≤).

So now we're at:

|x - 3| > 9

To solve the equation, you just need to subtract 9(b) from 3(a) and add 9(a) to 3(b) to get -6 and 12. Since x must be more than 9 units away, you would get:

x<-6 and x>12

Hope this is helpful!

6 0

3 years ago

Translate the new algebraic expression you created in Question 1 to a verbal expression.

svetoff [14.1K]

Answer:

What are you asking?

Step-by-step explanation:

6 0

2 years ago