Answer:

Step-by-step explanation:

 
        
             
        
        
        
Answer:
The coordinates of E are  .
.
Step-by-step explanation:
The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set. 
Vectorially speaking, dilation is defined by the following operation:
![P'(x,y) = O(x,y) + k\cdot [P(x,y) - O(x,y)]](https://tex.z-dn.net/?f=P%27%28x%2Cy%29%20%3D%20O%28x%2Cy%29%20%2B%20k%5Ccdot%20%5BP%28x%2Cy%29%20-%20O%28x%2Cy%29%5D) (1)
 (1)
Where:
 - Point of reference.
 - Point of reference.
 - Original point.
 - Original point.
 - Dilated point.
 - Dilated point.
 - Dilation factor.
 - Dilation factor.
By applying this operation, point B becomes point D: 
 ,
, 
![D(x,y) = (0,0) + k\cdot [(0,4)- (0,0)]](https://tex.z-dn.net/?f=D%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B%20k%5Ccdot%20%5B%280%2C4%29-%20%280%2C0%29%5D)




Lastly, we transform point C into point E by applying the same operation:  ,
,  and
 and 
![E(x,y) = (0,0) + \frac{3}{2}\cdot [(3,0)-(0,0)]](https://tex.z-dn.net/?f=E%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B%20%5Cfrac%7B3%7D%7B2%7D%5Ccdot%20%5B%283%2C0%29-%280%2C0%29%5D)

The coordinates of E are  .
.
 
        
             
        
        
        
The answer is (6,-4). By the way, this was very hard to read.
        
             
        
        
        
Answer:
$477
Step-by-step explanation:
63 hours x $6 = $378
9 hours x $11 = $99
378+99= $477