Answer:
D 5.46 x 10^10
Step-by-step explanation:
Recall that  speed is the rate of change of distance with time and may be expressed mathematically as 
speed = Distance/time
Distance = speed * time
Hence given that the speed of light 
= 3 × 10^8 meters per second
Time taken for light to travel between the given distance
= 1.82 × 10^2 seconds
substituting the given values
Distance = 3 × 10^8 * 1.82 × 10^2
= 5.46 * 10^(8+2)
= 5.46 * 10^10 meters
 
        
             
        
        
        
Area of bottom rectangle:-
Area of rectangle above it:-
Area of rectangle above it 
Area of triangle:-
Total:-
 
        
             
        
        
        
We are given two relations 
(a)
Relation (R)
![R=[((k-8.3+2.4k),-5),(-\frac{3}{4}k,4)]](https://tex.z-dn.net/?f=R%3D%5B%28%28k-8.3%2B2.4k%29%2C-5%29%2C%28-%5Cfrac%7B3%7D%7B4%7Dk%2C4%29%5D)
We know that 
any relation can not be function when their inputs are same
so, we can set both x-values equal 
and then we can solve for k 







 ............Answer
............Answer
(b)
S = {(2−|k+1| , 4), (−6, 7)}
We know that 
any relation can not be function when their inputs are same
so, we can set both x-values equal 
and then we can solve for k 




Since, this is absolute function 
so, we can break it into two parts


we get 




so, 
 ...............Answer
...............Answer
 
        
             
        
        
        
Answer:
The answer to your question is 43
Step-by-step explanation:
                                   
                   2x³  + 8x² - 5x + 5 / x - 2
Process
1.- Use synthetic division
                       2   8    -5    5     2
                            4    24  38                           
                       2  12    19   43
 
Quotient    2x² + 12x + 19
Remainder     43
 
        
             
        
        
        
<h3>
Answer:   -3, -1, 1</h3>
Explanation:
The domain is the set of all allowed x values in a relation. We simply list each unique x coordinate of the (x,y) points given to form the domain.