Given:
y varies directly with x,
It is given that y = 7 when x = -9.
To find:
The value of y when x = 27 for the direct variation.
Solution:
It is given that y varies directly with x, so

 ...(i)
             ...(i)
Where, k is the constant of proportionality.
It is given that y = 7 when x = -9. Putting these values in (i), we get
 
 
 
 
Putting  in (i), we get
 in (i), we get

Putting  ,  we get
,  we get


Therefore, the required value is  .
.
 
        
             
        
        
        
Answer:
If f(x) = 9–4 |+1|, find f(-5)?
Step-by-step explanation:
15
-7
7
23
ANSWER 23
 
        
             
        
        
        
Answer:
11/60
Step-by-step explanation:
sin x = opp/hyp
cos x = adj/hyp
tan x = opp/adj = (opp/hyp)/(adj/hyp)
tan x = (11/61)/(60/61)
tan x = 11/61 * 61/60
tan x = 11/60
 
        
                    
             
        
        
        
60/ 2v =30v
60/2=30
30+v=30v
        
             
        
        
        
All of those numbers have a common factor, which is 3. So you divide all of their values by 3.
3:9:15:24
=1:3:5:8
Because the values cannot be divided anymore, this ratio is in it's simplest form.