Which equation is represented by the table

C

Step-by-step explanation:

D.y=|x+2|-4

Step-by-step explanation:

The absolute value or modulus |x| of a real number x is the non-negative value of x, without taking into accoun its sign.

Knowing this, you should solve the operation that is in this format |x| of modulus, and the result would be positive without regard of its sign.

On equation D, if we replace the given value of x in the first row, -4, the result of y is -2. And it is equal to the value of y on the table.

If you repeat the math for the following data on the table, you will check that for the given number of x on the table, the value of y corresponding is obtained by the equation D.

Let's check equation D. for the first row of the table:

y=|x+2|-4

y=|-4+2|-4

y=|-2|-4

Note that for the following step the -2 that is in the modulus is taken as positive number to continue the operation:

y=2-4

y=-2

Let's check equation D. for the second row of the table:

y=|x+2|-4

y=|-3+2|-4

y=|-1|-4

y=1-4

y=-3

b

step-by-step explanation:

the word superfluous means unnecessary

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.