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3 years ago

Is the square root of eight a rational or irrational number

1 answer:

8 0

$\bf \sqrt{8}\implies \sqrt{2\cdot 2\cdot 2}\implies \sqrt{2^2\cdot 2}\implies 2\sqrt{2}$

it just so happen that √2 is an irrational number, so any product with it as a factor, will yield an irrational number as well.

factoid: Ancient Greeks were scared of irrational numbers, and they steered clear from √2.

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Find the inverse of ????−7 −2

Masja [62]

Answer:

$A^{-1}=\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}$

Step-by-step explanation:

$A=\begin{bmatrix}-7 & -2\\ 4 & 1\end{bmatrix}$

$det\ A=-7\times 1-(-2)\times 4\\\Rightarrow det\ A=1$

$A^{-1}=\frac{1}{det\ A}\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}\\\Rightarrow A^{-1}=\frac{1}{1}\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}\\\Rightarrow A^{-1}=\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}$

$\therefore A^{-1}=\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}$

$A.A^{-1}=\begin{bmatrix}-7 & -2\\ 4 & 1\end{bmatrix}\times \begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}\\\Rightarrow A.A^{-1}=\begin{pmatrix}\left(-7\right)\cdot \:1+\left(-2\right)\left(-4\right)&\left(-7\right)\cdot \:2+\left(-2\right)\left(-7\right)\\ 4\cdot \:1+1\cdot \left(-4\right)&4\cdot \:2+1\cdot \left(-7\right)\end{pmatrix}\\\Rightarrow A.A^{-1}=\begin{pmatrix}1&0\\ 0&1\end{pmatrix}$

Hence, confirmed

6 0

3 years ago

A real estate agency offers three apartments for rent in New Mexico City. The expected total revenue per month from monthly rent

lutik1710 [3]

Monthly maintenance costs of 20% of the rent for the first two apartments and 25% of the rent for the third apartment, which is a total amount of $345 (0.2)x + (0.2)y + (0.25)z = 345 I'm not 1005 sure tho

7 0

3 years ago

What's the answer I'm confused yeahhhhhhhhhh

Fantom [35]

-3 2/5 - 5/6 = -127/30

-2/3 + 6 1/8 = 107/24

3 0

3 years ago

Please i’m trying to help my gf work i’m in 8th i’ll give you brainliest

lorasvet [3.4K]

Take a better pic and i will explain in comment

8 0

2 years ago

Read 2 more answers

Write an algebraic equation based on the description. Two angles form a linear pair. The measure of one angle is 24° more than t

IgorC [24]

<h2><u>Answer:-</u></h2>

Given:

Two angles form a linear pair.

It means sum of their measures = 180°.

And,

Measure of one angle is 24° greater than the other.

Let the other angle be x.

→ First angle = (x + 24)

According to the question,

→ 2x = 180 - 24

→ 2x = 156

→ x = 156/2

<u>There</u><u>fore</u><u>,</u>

1st angle = 78°
2nd angle = 78° + 24° = 102°

4 0

2 years ago