1/2x+2 in linear equation

Select all irrational numbers.

Maurinko [17]

Answer:

OPTION A

OPTION B

OPTION C

Step-by-step explanation:

Irrational numbers are the subset of real numbers. Their decimal representation neither form a pattern nor terminate.

OPTION A: $\sqrt{\frac{1}{2}}$

This is equal to $\frac{1}{\sqrt{2}}$ .

$\sqrt{2} = 1.414...$ is non-terminating. So, it is an irrational number. Hence, the reciprocal of an irrational number would also be irrational. So, OPTION A is irrational.

OPTION B: $\sqrt{\frac{1}{8}}$

This is equal to $\frac{1}{2\sqrt{2}}$ . Using the same logic as Option A, we regard OPTION B to be irrational as well.

OPTION C: $\sqrt{\frac{1}{10}}$

This is equal to $\frac{1}{\sqrt{5}\sqrt{2}}$ .

Both $\sqrt{5}$ and $\sqrt{2}$ are irrational. So, the product and the reciprocal of the product is irrational as well. So, OPTION C is an irrational number.

OPTION D: $\sqrt{\frac{1}{16}}$

16 is a perfect square and is a rational number. $\frac{1}{\sqrt{16}}$ = $\frac{1}{4}$ . This is equal to 0.25, a terminating decimal. So, OPTION D is a rational number.

OPTION E: $\sqrt{\frac{1}{4}}$

4 is a perfect square as well. $\frac{1}{\sqrt{4}} = \frac{1}{2} = 0.5$ , a terminating decimal. So, OPTION E is a rational number.

5 0

3 years ago

Hello please help me with this problem. For 38 points Its is algebra 1

Burka [1]

answer to this one is b

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

You look over the songs in a jukebox and determine that you like 1414 of the 5252 songs. (a) What is the probability that you l

enyata [817]

Answer:

Step-by-step explanation:

given that you look over the songs in a jukebox and determine that you like 14 of the 52 songs

Here each song is independent of the other song

i.e. p = Probability that you like any song = $\frac{14}{52} =0.2692$

q = Prob you do not like = 1-0.2692 = 0.7308

a) the probability that you like the next four songs that are played

= $0.2692^4\\=0.00525$

b) the probability that you do not like the next four songs that are played

= $0.7308^4\\=0.2852$

3 0

3 years ago

Help please ! It’s geometry

bearhunter [10]

Answer:

90 °

Step-by-step explanation:

$\sqrt{5 \times 12}$

$\sqrt[5]{3}$

$\sqrt{6 \times 5}$

$\sqrt[5]{3}$

6 0

3 years ago

Difference between dot and cross product

Rashid [163]

If you have two vectors A and B,
Dot product is a scalar quantity dealing with how much of one vector is in the same direction as the other vector, or the projection of one onto the other. You can see that from the cosine part of this form-
$A~*~B = [A][B]cos(\theta)$

The cross product is a vector perpendicular to both A and B. It deals with how much of one vector is perpendicular to the other vector. You can see that in the sine part of this form -
$A ~x ~B= [A][B]sin(\theta)$

8 0

4 years ago