Answer:
k = -9.
Step-by-step explanation:
As the triangle is right-angled at Q, by Pythagoras:
PR^2 = PQ^2 + RQ^2
So, substituting the given data and using the distance formula between 2 points:
(7 - 1)^2 + (k - 4)^2 =  (-4-4)^2 + (-3-1)^2 + (7 - (-3))^2 + (k - (-4))^2
36 + (k - 4)^2 = 64 + 16 + 100 + ( k + 4)^2
(k - 4)^2 - (k + 4)^2 = 180 - 36
k^2 - 8k + 16 - (k^2 + 8k + 16) = 144
-16k = 144
k = -9.
 
        
                    
             
        
        
        
Answer: B
Step-by-step explanation:
If you use slope-intercept form, you can see that B uses the equation y = 5x - 4, and you can also see that it is linear since it is proportional. The only coordinate plane that has a nonlinear line is D.
 
        
             
        
        
        
<em>X = 2 cm</em>
Volume = Bh= 8×5×1/2×X= 80
X = 80/20 = 4
 
        
             
        
        
        
Let , missing value(_)=A
As, it is given that ,

To convert the value of A into Radians,
360°=2 π Radians

So, missing value to the nearest hundredth= 1.26 Radians
 
        
                    
             
        
        
        
Answer:
64
Step-by-step explanation: