Answer:
   -89
Step-by-step explanation:
The first term of the sequence is a1 = -12.
The common difference between terms is ...
   d = -13 -(-12) = -1
The generic term is given by ...
   an = a1 +d(n -1)
Then the 78th term is ...
   a78 = -12 +(-1)(78 -1) = -12 -77
   a78 = -89
 
        
             
        
        
        
Answer:
y = 1/2x - 3
Step-by-step explanation:
the slope:

the equation:
with the point (4, -1)




I hope this help you
 
        
             
        
        
        
Answer:

Step-by-step explanation:
(smaller triangle below)

(bigger triangle above)
Since you have both triangle, and all lengths you dont need to worry about calculating the square
Add both together

 
        
                    
             
        
        
        
Break the figure into a triangle and a rectangle. 
The triangle has a base of 6 and a height of 3, so the area is 6*3/2 = 18/2 = 9
The rectangle has a length of 5 and a height of 6, so 6*5 = 30 is the area of the rectangle.
The total area is 30+9 = 39
Answer: 39
        
                    
             
        
        
        
I see two ways to do it.
First, you have to understand that when you see a 'complex fraction' like this, the top number is a numerator, and the two bottom numbers are both denominators.
Way-1:
Take the top fraction . . . 2/2 .  That's equal to 1 . So the whole thing is <em>1/3</em>.
Way-2:
Multiply the bottom two denominators.  Then the whole thing is 2/(2·3) .  That's the same thing as  2/6 .  Simplify that, and you have <em>1/3</em> .