Answer:
![T = \left[\begin{array}{ccc}-\frac{1}{\sqrt{2} } &\frac{1}{\sqrt{2} }\\\frac{1}{\sqrt{2} }&\frac{1}{\sqrt{2} }\end{array}\right]](https://tex.z-dn.net/?f=T%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D%20%26%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D%5C%5C%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D%26%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Let General Transformation matrix be denoted as T
Step 1: Clockwise rotation of 45 degrees
General counterclockwise rotation matrix in 2-dimension is given as
                                         ![R(\theta)=\left[\begin{array}{ccc}cos\theta & - sin\theta\\sin\theta&cos\theta\\\end{array}\right]](https://tex.z-dn.net/?f=R%28%5Ctheta%29%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dcos%5Ctheta%20%26%20-%20sin%5Ctheta%5C%5Csin%5Ctheta%26cos%5Ctheta%5C%5C%5Cend%7Barray%7D%5Cright%5D)
For clockwise rotation we need to insert θ as negative in the above matrix. Therefore, the resulting matrix is 
                                         ![R(-\theta)=\left[\begin{array}{ccc}cos\theta & sin\theta\\-sin\theta&cos\theta\\\end{array}\right]](https://tex.z-dn.net/?f=R%28-%5Ctheta%29%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dcos%5Ctheta%20%26%20sin%5Ctheta%5C%5C-sin%5Ctheta%26cos%5Ctheta%5C%5C%5Cend%7Barray%7D%5Cright%5D)
as sin(-θ) = -sin (θ) and cos(-θ) = cos (θ)
For 45 degrees
 and
   and   
                                        ![R(-45)=\left[\begin{array}{ccc}\frac{1}{\sqrt{2} }  & \frac{1}{\sqrt{2} }\\-\frac{1}{\sqrt{2} }&\frac{1}{\sqrt{2} }\\\end{array}\right]](https://tex.z-dn.net/?f=R%28-45%29%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D%20%20%26%20%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D%5C%5C-%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D%26%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Step 2: Reflection through line y = x
This type of reflection maps (x,y)→(y,x)
Therefore the general matrix is 
                                            ![R(x,y)=\left[\begin{array}{ccc}0&1\\1&0\end{array}\right]](https://tex.z-dn.net/?f=R%28x%2Cy%29%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%5C%5C1%260%5Cend%7Barray%7D%5Cright%5D)
Step 3: General Transformation Matrix
T = R(x,y) R(-θ) 
                                     ![T=\left[\begin{array}{ccc}0&1\\1&0\end{array}\right] \left[\begin{array}{ccc}\frac{1}{\sqrt{2} }  & \frac{1}{\sqrt{2} }\\-\frac{1}{\sqrt{2} }&\frac{1}{\sqrt{2} }\\\end{array}\right]](https://tex.z-dn.net/?f=T%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%5C%5C1%260%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D%20%20%26%20%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D%5C%5C-%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D%26%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D%5C%5C%5Cend%7Barray%7D%5Cright%5D)
                                            ![T = \left[\begin{array}{ccc}-\frac{1}{\sqrt{2} } &\frac{1}{\sqrt{2} }\\\frac{1}{\sqrt{2} }&\frac{1}{\sqrt{2} }\end{array}\right]](https://tex.z-dn.net/?f=T%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D%20%26%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D%5C%5C%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D%26%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D%5Cend%7Barray%7D%5Cright%5D)
 
        
             
        
        
        
Answer:
The Answer Is On The Image 
Step-by-step explanation:
Thanks.............
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
We can use the rule of three!
We know we have the following relationship: 

From here, we can solve this like any other equation:

Therefore, you would earn $28 after washing 4 cars. 
Good luck! 
 
        
             
        
        
        
Argentinosaurus- 2.2x10^5
Brachiosaurus- 1.0x10^5
Apatosaurus- 6.6x10^4
Diplodocus- 5.0x10^4
Camarasourus- 4.0x10^4
Cetioauriscus- 1.985X10^4
I hope this helps :3
        
                    
             
        
        
        
Answer:
properties:a thing or things belonging to someone; possessions collectively.
Attributes of function: Other objects a function is defined set of attributes. It shares the attributes of variables, including identifier, title, units, description,