What is the vertex of g(x) = 3x2 − 12x + 7?
A. (−6, −5)
B. (−2, −5)
C. (2, −5)
D. (6, −5)

It would be C

Step-by-step explanation:

(2, -5)

You just to change to vertex form

C)   (2, -5).

Step-by-step explanation:

Convert to vertex form:

3x^2 - 12x + 7

= 3(x^2 - 4x) + 7

Completing the square:

= 3[ (x - 2)^2 - 4)] + 7

= 3(x - 2)^2 - 12 + 7

= 3(x - 2)^2 - 5.

Comparing with the general form

a(x - b)^2 + c  we see that the vertex is (b, c)  =   (2, -5).

angle uzt is congruent to angle tzy. angle vzw is congruent to angle yzx.

(credits to leowren)

step-by-step explanation:

256π units²   (answer b)

step-by-step explanation:

the formula for the surface area of a sphere of radius r

is             a = 4πr²

and so, if r = 8 units, then the surface area is:

a = 4π(8 units)² = 256π units²   (answer b)