(U-12)3 helpppppppoooppppppp

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

2 years ago

Find the equation of the perpendicular bisector between two points (2,7) and (-6, -1)

Veseljchak [2.6K]

Answer:

well it fjgkgjg

Step-by-step explanation:

jdjbdhdhdhdhdhxyxyxyxyd

4 0

3 years ago

Please help!

Mrrafil [7]

Answer:

$\sf C. \quad \dfrac{1}{9}$

Step-by-step explanation:

<u>Addition Law for Probability</u>

$\sf P(A \cup B)=P(A)+P(B)-P(A \cap B)$

Given:

$\sf P(A)=\dfrac{1}{3}=\dfrac{3}{9}$

$\sf P(B)=\dfrac{2}{9}$

$\sf P(A \cup B)=\dfrac{4}{9}$

Substitute the given values into the formula and solve for P(A ∩ B):

$\implies \sf P(A \cup B) = P(A)+P(B)-P(A \cap B)$

$\implies \sf \dfrac{4}{9} = \sf \dfrac{3}{9}+\dfrac{2}{9}-P(A \cap B)$

$\implies \sf P(A \cap B) = \sf \dfrac{3}{9}+\dfrac{2}{9}-\dfrac{4}{9}$

$\implies \sf P(A \cap B) = \sf \dfrac{3+2-4}{9}$

$\implies \sf P(A \cap B) = \sf \dfrac{1}{9}$

4 0

1 year ago

Read 2 more answers

Factor -1/4 out of -1/2-5/4y

In-s [12.5K]

When we factor out something, we divide the factor by the equation. For example if we were to factor 3 out of 6, It will be 3(2). We got this answer by dividing 3 and 6. Using this concept:

$\frac{-1}{4}[( \frac{-1}{2} / \frac{-1}{4}) - ( \frac{5}{4} y / \frac{-1}{4})]$

Simplifying:

$\frac{-1}{4}(2 + 5y)$

Hope this helps!

3 0

3 years ago

IMPORTANT! WILL VOTE BRAINLIEST!!!

nikdorinn [45]

Answer:

The value of the ve = 9m/sec

Step-by-step explanation:

From the given formula, it can be conclude that this is evenly accelerated movement.

First I will rewrite given formula

vi = √ ve∧2 - 2ad First we will square on both sides and get

vi∧2 = ve∧2 - 2ad Now we will add monom (+2ad) to both sides and get

vi∧2 + 2ad = ve∧2 -2ad + 2ad =>

ve∧2 = vi∧2 +2ad Now we will rooted both sides and get

ve = √vi∧2 + 2ad

Now we will replace given data vi=7m/sec, a=8m/s∧2 and d=2m in the last formula

ve= √7∧2 + 2*8*2 = √49+32 = √81 = 9

ve= 9m/sec

Good luck!!!

7 0

3 years ago