We are asked to find for an expression that represents the perimeter of a picture frame which has a shape of a rectangle. The dimensions given are length of size x cm and a width of size 9 cm.
The formula for the Perimeter of a rectangle is given by
P=2L+2W
where L is the length and W is the width of the rectangle.
Hence,
P=2(x)+2(9)
Simplifying this values would give us a result of,
P=2x+18
Therefore, 2x+18 is the expression that represent the perimeter of the picture frame.
        
                    
             
        
        
        
Step-by-step explanation:
4(3x-2) + 6x(2-1)
10x + 11x
21x
 
        
             
        
        
        
Answer:
h= −4x−10/x
Step-by-step explanation:
 
        
             
        
        
        
Answer:
see explanation
Step-by-step explanation:
Given the 3 equations
3x + 5y + 5z = 1 → (1)
x - 2y = 5 → (2)
2x + 4y = 11 → (3)
Use (2) and (3) to solve for x and y
Multiply (2) by 2
2x - 4y = 10 → (4)
Add (3) and (4) term by term
4x = 21 ( divide both sides by 4 )
x = 
Substitute this value of x into (3)
2 ×  + 4y = 11
 + 4y = 11
 + 4y = 11 ( subtract
 + 4y = 11 ( subtract  from both sides )
 from both sides )
4y =  ( divide both sides by 4 )
 ( divide both sides by 4 )
y = 
Substitute the values of x and y into (1) and solve for z
3 ×  + 5 ×
 + 5 ×  + 5z = 1
 + 5z = 1
 +
 +  + 5z = 1
 + 5z = 1
 + 5z = 1 ( subtract
 + 5z = 1 ( subtract  from both sides )
 from both sides )
5z = -  ( divide both sides by 5 )
 ( divide both sides by 5 )
z = - 
Solution is
x =  , y =
, y =  , z = -
, z = - 
 
        
             
        
        
        
Answer:
dogs - 13
cats - 39
Step-by-step explanation:
Let the number of dogs Ma Bernier have be represented with d 
She has 3 times as many cats as dogs, the number of cats she has : 
cats = 3d
The sum of the cats and dogs is 52
d + 3d = 52
4d = 52
divide both sides of the equation by 4
d = 13 
She has 13 dogs
Cats = 3d 
= 3 x 13 = 39