Answer:
8x⩽112
Step-by-step explanation:
Width of the rectangle (in centimeters) = x
Therefore, the lenght of the rectable is 3x (in centimeters).  
The perimeter of the rectangle (in centimeters) is : 2x+2*3x=2x+6x=8x.
The perimeter of the rectangle is at most 112cm, therefore, 8x⩽112. 
 
        
             
        
        
        
Solution :
2a + 2b = 7    ...1)
4a + 3b = 12   ...2)
In equation, 1) 
a = (7 - 2b)/2   ...3)
Putting value of a in equation 2) we get :
4 × (7 - 2b)/2  + 3b = 12
2( 7 - 2b ) + 3b = 12
14 - 4b + 3b = 12
b = 2
Putting value of b in 3) we get :
a = ( 7 - 2×2)/2
a = 3/2 = 1.5
Now, 
2x - 3y = 16   ...5)
x + 2y = -6    ...6)
x = -6 - 2y
Putting above value of x in eq 5) , we get :
2( -6 - 2y ) - 3y = 16
-12 - 4y - 3y = 16
7y = -28
y = -4
x = -6 - ( 2× -4 )
x = 2
Hence, this is the required solution.
 
        
             
        
        
        
Answer:
E: b/3+3
Step by step:
3 C= b
C + 3 = b/3 + 3                     (Adding 3 to both sides)
Answer: E: b/3 + 3
Hope this helps
 
        
             
        
        
        
i am not sure but it think its 6 root 2
 
        
             
        
        
        
Answer:
cosФ =  , sinФ =
 , sinФ =  , tanФ = -8, secФ =
 , tanФ = -8, secФ =  , cscФ =
 , cscФ =  , cotФ =
 , cotФ = 
Step-by-step explanation:
If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:
- cosФ =  
- sinФ =  
- tanФ =  
- secФ =  
- cscФ =  
- cotФ =  
- Where r =  (the length of the terminal side from the origin to point (x, y) (the length of the terminal side from the origin to point (x, y)
- You should find the quadrant of (x, y) to adjust the sign of each function
∵ Point (1, -8) lies on the terminal side of angle Ф in standard position
∵ x is positive and y is negative
→ That means the point lies on the 4th quadrant
∴ Angle Ф is on the 4th quadrant
∵ In the 4th quadrant cosФ and secФ only have positive values
∴ sinФ, secФ, tanФ, and cotФ have negative values
→ let us find r
∵ r = 
∵ x = 1 and y = -8
∴ r = 
→ Use the rules above to find the six trigonometric functions of Ф
∵ cosФ = 
∴ cosФ =  
 
∵ sinФ = 
∴ sinФ = 
 
∵ tanФ = 
∴ tanФ =  = -8
 = -8
∵ secФ = 
∴ secФ =  =
 = 
∵ cscФ = 
∴ cscФ = 
∵ cotФ = 
∴ cotФ = 