(x² + 4x - 45)/(x² + 10x + 9) 
<span>
Numerator = N = x² + 4x - 45 </span>
= x² + 9x - 5x - 45 
= (x² + 9x) - (5x + 45) 
= x(x + 9) - 5(x + 9) 
= (x + 9)(x - 5) 
<span>
Denominator = D = x² + 10x + 9 </span>
= x² + x + 9x + 9 
= (x² + x) + (9x + 9) 
= x(x + 1) + 9(x + 1) 
= (x + 1)(x + 9) 
<span>
Hence, the given expr. = N/D </span>
= {(x + 9)(x - 5)}/{(x + 1)(x + 9) 
= (x - 5)/(x + 1) 
<span>
Restrictions : x ≠ - 1, x = 5 </span>
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Answer:
y=1/2x-3
Step-by-step explanation:
 
        
             
        
        
        
Answer:
The answer is 2.
This is because on the left side of the triangle, we can see that the original length is ten cm greater than the second variation. therefore, the other side would also be 10 cm greater than the other variation's side. 5(2)×10= 20, which keeps the triangle to scale.
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Answer:
-1/6
Step-by-step explanation:
flip the slope

becomes

now the slope is going down so it becomes negative 
= -1/6
 
        
             
        
        
        
Cube surface area = side^2 * 6
54 / 6 = side^2
side = sq root (9)
side = 3 centimeters