Answer:
(x+5)^2+(y-12)^2=256
Step-by-step explanation:
Comparing the given (x+5)^2+(y-12)^2=256
to                                   (x - h)^2 + (y - k)^2 = r^2,  
we see that h must be -5, k must be 12 and r must be 16.  This is the desired equation of the circle with center at (-5, 12) and radius 16.
 
        
             
        
        
        
Answer:
   78π m²
Step-by-step explanation:
The lateral area of the cylinder is ...
   LA = 2πrh
   LA = 2π(3 m)(8 m) = 48π m²
The lateral area of one cone is ...
   LA = πrh . . . . where h is the slant height
   LA = π(3 m)(5 m) = 15π m²
Then the total surface area of the figure is the area of the two cones plus that of the cylinder:
   S = 2(cone area) + cylinder area
   S = 2(15π m²) +(48π m²)
   S = 78π m²
 
        
             
        
        
        
Answer:
4960?
Step-by-step explanation:
31 times 160 = 4960
 
        
             
        
        
        
The horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
<u>Explanation:</u>
Given:
h(x) = -0.026x² + 0.563x + 3
where,
h(x) is the height of the water
Initial speed, u = 14m/s
angle, θ = 30°
(a)
Horizontal distance = ?
h(x) = ax² + bx + c
the vertex is found at x = -b/2a
where,
x = distance to the maximum height
As compared to the equation given:
a = -0.026
b = 0.563
Thus, 

Therefore, horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
 
        
             
        
        
        
Answer:
A. The graph is a line that goes through the points (9,0) and (0,6).
Step-by-step explanation:
Given

Required
Select the true options

This implies that"


So, we have: 


So, we have: 

<em>Hence (a) is true.</em>