Minimum or maximum value of f(x)=−0.5x2+2x−5.

In the equation assign each number a letter:

A = -0.5, b = 2 and c = -5

Maximum = -b/2a = -2/2(-0.5) = 2

Minimum = replace x in the equation with the maximum and solve for y:

-0.5(2)^2 +2(2) -5 = -3

Maximum and minimum = (2,-3)

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.