Complete the square to determine the maximum or minimum value of the function defined by the expression.
−x2^2 − 6x + 6

a) minimum value at 3

b) maximum value at 15

c) minimum value at −1

d) minimum value at −6

  B)  maximum at 15

Step-by-step explanation:

Factor the leading coefficient from the first two terms.

  -(x^2 +6x) +6

Add the square of half the x-coefficient inside parentheses and subtract the same quantity outside.

  -(x^2 +6x +9) +6 -(-9)

  -(x +3)^2 +15

Compared to the form

  a(x -h)^2 +k

we find a=-1, h=-3, k=15. The negative vertical scale factor (a=-1) means the parabola opens downward. The vertex is located at (h, k) = (-3, 15).

The maximum value is 15.

1,589.63 in.^3

step-by-step explanation:

i hope this you : d

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation: