Answer:
<u>(1, 18)</u>
Step-by-step explanation:
Rewrite the equation in vertex form by completing the square for -3x^2 + 6x + 15. This = -3(x - 1)^2 + 18.
Set y equal to the new right side. 
y = -3(x - 1)
Use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.
a = -3
h = 1
k = 18
Vertex = (h, k) / (1, 18)
 
        
             
        
        
        
Answer:
   y -6 = 1/3(x +3)   or   y = 1/3x +7
Step-by-step explanation:
The slope of the line describing the given path is the x-coefficient, -3. The slope of the perpendicular line will be the negative reciprocal of that:
   m = -1/(-3) = 1/3
The point-slope form of the equation for a line can be used to write the equation for the new path:
   y -k = m(x -h) . . . . . line with slope m through point (h, k)
For m=1/3 and (h, k) = (-3, 6), the new path can be represented by ...
   y -6 = 1/3(x +3) . . . . point-slope form
   y = (1/3)x +7 . . . . . . slope-intercept form
 
        
             
        
        
        
Answer:
2197 cubic centimeters
Step-by-step explanation:
13^3=2197