Centre= (-1,-2)
Radius=5
All working shown on photo
 
        
        
        
Answer:
see explanation
Step-by-step explanation:
let pq = x
given oq - pq = 1 then oq = 1 + x
Using Pythagoras' identity, then
(oq)² = 7² + x²
(1 + x)² = 49 + x² ( expand left side )
1 + 2x + x² = 49 + x² ( subtract 1 from both sides )
2x + x² = 48 + x² ( subtract x² from both sides )
2x = 48 ( divide both sides by 2 )
x = 24 ⇒ pq = 24 
and oq = 1 + x = 1 + 24 = 25 ← hypotenuse
sinq =  =
 = 
cosq =  =
 = 
 
        
             
        
        
        
The correct answer is c, 60!
        
                    
             
        
        
        
Answer:
Answer is 4
Step-by-step explanation:
8+(3x4) = (2x2) + (4x4)
8+12 = 4+16
20=20
 
        
                    
             
        
        
        
Answer:
f[g(4)] = 4
Step-by-step explanation:
Given table:

f[g(4)] is a composite function. 
When calculating <u>composite functions</u>, always work from inside the brackets out.
Begin with g(4):  g(4) is the value of function g(x) when x = 4.
From inspection of the given table, g(4) = -6
Therefore, f[g(4)] = f(-6)
f(-6) is the value of function f(x) when x = -6.
From inspection of the given table, f(-6) = 4
Therefore, f[g(4)] = 4