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WITCHER [35]
3 years ago
6

How to solve -6x-5y=18 -5×+2y=22

Mathematics
1 answer:
Orlov [11]3 years ago
6 0
-5 x 2y = 22
2y = 22 / -5 which is -4.4
y = -2.2
Substitute:
-6x + 11 = 18
-6x = 7
x = 7 / -6
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What degree of rotation is represented on this matrix
Korvikt [17]

Answer:

Option B is correct

the degree of rotation is, -90^{\circ}

Step-by-step explanation:

A rotation matrix is a matrix that is used to perform a rotation in Euclidean space.

To find the degree of rotation using a standard rotation matrix i.e,

R = \begin{bmatrix}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix}

Given the matrix: \begin{bmatrix}0 & 1 \\ -1 & 0\end{bmatrix}

Now, equate the given matrix with standard matrix we have;

\begin{bmatrix}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix} =  \begin{bmatrix}0 & 1 \\ -1 & 0\end{bmatrix}

On comparing we get;

\cos \theta = 0       and -\sin \theta =1  

As,we know:

  • \cos \theta = \cos(-\theta)
  • \sin(-\theta) = -\sin \theta

\cos \theta = \cos(90^{\circ}) = \cos( -90^{\circ})

we get;

\theta = -90^{\circ}

and

\sin \theta =- \sin (90^{\circ}) = \sin ( -90^{\circ})

we get;

\theta = -90^{\circ}

Therefore, the degree of rotation is, -90^{\circ}

7 0
3 years ago
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Sever21 [200]
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5 0
2 years ago
100 POINTS PLEASE HELP ASAP!!!!!
UkoKoshka [18]

The two numbers are 31 and 35.

Step-by-step explanation:

Let,

one number = x

2nd number = y

According to statement;

x+y=66   Eqn 1

y=x+4      Eqn 2

Putting y=x+4 from Eqn 2 in Eqn 1;

x+(x+4)=66\\x+x+4=66\\2x=66-4\\2x=62\\Dividing\ both\ sides\ by\ 2\\\frac{2x}{2}=\frac{62}{2}\\x=31\\Putting\ x=31\ in\ Eqn\ 2\\y=31+4\\y=35

The two numbers are 31 and 35.

Keywords: Linear equation, Addition

Learn more about linear equations at:

  • brainly.com/question/9862781
  • brainly.com/question/9762331

#LearnwithBrainly

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3 years ago
Simplify the expression: 2/3 divided by -4 minus (1/6 - 8/6)​
guapka [62]

Answer:

1

Step-by-step explanation:

\frac{2}{3}  \div  - 4 - ( \frac{1}{6}  -  \frac{8}{6} )

-  \frac{2}{3}  \times  \frac{1}{4}  - ( -  \frac{7}{6} )

-  \frac{1}{3}  \times  \frac{1}{2}  +  \frac{7}{6}

-  \frac{1}{6}  +  \frac{7}{6}

\boxed{\green{= 1}}

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2 years ago
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