Answer:
10
Step-by-step explanation:
We can use the distributive property to get:

Therefore, the blank is 10.
 
        
             
        
        
        
Answer:
Maths is the subject which deals with numbers, calculations, areas, geometry etc 
Various topics in maths are 
trigonometry 
geometry 
airthmatic 
etc
 
        
                    
             
        
        
        
Given:
A figure of dilation and the center of dilation is O.
To find:
The value of y.
Solution:
The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).



Where, k is the scale factor or constant of proportionality.
So, the scale factor for the given dilation is



We know that,




Divide both sides by 9.



Therefore, the value of y is 12.
 
        
             
        
        
        
Let x equal Thomas' age.  Then Huilan's age is 2x.  Set up an equation to model this situation:
x+2x=78
<em>*Combine like terms*</em>
3x=78
<em>*Divide both sides by 3*</em>
x=26
Hope this helps!!
 
        
                    
             
        
        
        
4k+6 is greater or equal to -14
4k is greater or equal to -20
k is greater or equal to -5 <-- answer