F(5) = 2(5)^2 - 10
f(5) = 2(25) - 10
f(5) = 50 - 10
f(5) = 40
        
             
        
        
        
Triangles QST and RST are similar.  Therefore, the following is true:
 q       s
--- = ----   This results in 10q=rs.
 r      10
Also, since RST is a right triangle, 4^2 + s^2 = q^2.
Since QST is also a right triangle, s^2 + 10^2 = r^2.  
            4      s
Also:  ---- = -----    which leads to s^2 = 40
            s      10
Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2
Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)
        
                    
             
        
        
        
Step-by-step explanation:
85 is the answer you are looking for
 
        
             
        
        
        
9514 1404 393
Answer:
   x = 1, x = 7
Step-by-step explanation:
You can see from the graph that the x-intercepts of f(x) are ...
   0 = f(-3)
   0 = f(3)
To find the corresponding values of x for f(x-4), we can solve ...
   0 = f(x -4)
   x -4 = -3   ⇒   x = 1
   x -4 = 3   ⇒   x = 7
The x-intercepts of the function after translation 4 units right are ...
   x = 1, x = 7
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Your sketch will be the same curve moved 4 units to the right. (Add 4 to every x-value shown.)