The slope of a line is given by the change in y coordinates over the change in x coordinate.
The slope of line DE will be (4 - -3)/ (7-1) = 7/6
If M1 and M2 are slopes of two perpendicular lines at a point then 
 M1× M2 = -1
 Thus, the slope of a perpendicular to line DE will be -6/7.
        
             
        
        
        
Answer:
C
Step-by-step explanation:
To find the appropriate equation, notice the red graph has shifted up about 6 units. This means that  which is shifted by -3 will move 6 up. -3+6= 3. This means the function will have +3. Only B and C are options. Now test a point. Notice the red function crosses the y-axis at about 5 or 6 when x=0.
 which is shifted by -3 will move 6 up. -3+6= 3. This means the function will have +3. Only B and C are options. Now test a point. Notice the red function crosses the y-axis at about 5 or 6 when x=0.

This function doesn't match. 

This function matches. Option C is correct.
 
        
             
        
        
        
Answer:
c
Step-by-step explanation:
For this question you can say d = 15 feet so we need the t then you can say :  
15 = l 130 - 25t l ⇒ because of the absolute value you should say :  
1) 130 - 25t = 15  ⇒ -25t = 15 - 130 ⇒ - 25t = -115 ⇒ t = 115/25 = 4.6 sec  
2) 130 - 25t = - 15 ⇒ -25t = -15 - 130 ⇒ -25t = - 145 ⇒ t = 145/25 = 5.8 sec  
so the answer is c :))
i hope this is helpful 
 
        
             
        
        
        
Answer:

Step-by-step explanation:
The volume of the pyramid is given by: 

where  is the area of the base and
 is the area of the base and  is the height.
 is the height. 
We know that the height is: 

Thus we need to find the area of the square at the base.
The perimeter of the square is: 

this means that the length of the sides of the square is :

Now we can find the area of the base which the area of the square:

and finally we find the volume:


Which rounded to the nearest tenth of a cubic centimeter is: 
 
        
             
        
        
        
Answer:
<em>113.04 </em>
Step-by-step explanation:
i believe