Answer:

Step-by-step explanation:
Given



Required
Determine the coordinates of the centroid
Represent the coordinates with C.
C is calculated as follows:

Substitute values of x and y in the given equation



<em>The above is the coordinate of the centroid</em>
Answer:
0.0355029585799?
Step-by-step explanation:
The veretx is normally the minimum value
hack:
for f(x)=ax²+bx+c
the x value of the vertex is -b/2a
so
f(x)=1x²-16x+71
x value is -(-16)/(2*1)=16/2=8
find f(8) to find y value of vertex
f(8)=8²-16(8)+71
f(8)=64-128+71
f(8)=7
the vertex is (8,7)
the minimum value is 7