Answer:
position         1             5             8                12               19             25
term              -8            8             20             36               64            88
Step-by-step explanation:
(n - 1) is position ( n ∈ N)
d is the distance between the numbers in the sequence
a1 is the first number in the sequence
we have the fuction: a(n) = a1 + (n - 1)d
see in the table, with position = 1, term = -8 => a1 + d = -8
                                     position = 25, term = 88 => a1 + 25d = 88
=> we have: a1 + d = -8
                      a1 + 25d = 88
=> a1 = -12
     d = 4
=> a(n) = -12 + 4(n - 1)
=> term = 8, position = (8 + 12)/4 = 5
     position = 8, term = -12 + 4.8 = 20
     term = 36, position = (36 + 12)/4 = 12
     position = 19, term = -12 + 4.19 = 64
 
        
                    
             
        
        
        
Answer:
            slope:      
       equation:     
Step-by-step explanation:

 - point-slope form of Equation of the Line
      - point-slope form of Equation of the Line

 
        
             
        
        
        
Answer:
Step-by-step explanation:
Let the speed of the car is x, then the speed of motorcycle is x + 20
The distance = 120 km
<u>Time:</u>
- 120/x = 120/(x + 20) + 1
- 120(x + 20) = 120x + x(x +20)
- 120x + 2400 = 120x + x² + 20x
- x² + 20x = 2400 
- x² + 2*10x + 10² = 2500
- (x + 10)² = 50²
- x  + 10 = 50
- x = 40
Speed of the car is 40 km/h
Speed of the motorcycle is 60 km/h
 
        
                    
             
        
        
        
Answer:
<em>B</em> 
Step-by-step explanation:
<u>Dilations</u>
Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.
The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.
Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.
The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.
Thus, the rule to dilate the pentagon is:
B 
 
        
             
        
        
        
 the surface area of that rectangular prism is 247.5.