Which value must be added to the expression x^2+12x to make it a perfect-square trinomial?

Add 36. The factored form is .

Step-by-step explanation:

A perfect square is a trinomial that factors into the form . To find the value to add to it divide 20 by 2 and square it.

12/2 = 6

6*6 = 36

This means c=36. The factored form is .

21

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is