But it decides to build a square room for his movies and music collection if the area of the room is 16 X squared -24X +9 ft.² what is the length of the one side of the room

The length of the one side of the square room(a) = (4x - 3) ft

Step-by-step explanation:

Given,

The area of the room = 16 - 24X  + 9

Let 'a' be the length of the one side of the room.

To find, the length of the one side of the room(a) = ?

We know that,

The area of the square =

Where, a is the side of the square

∴ = 16 - 24X  + 9

⇒ = - 2(4X)(3)  +

Using the algebraic identity,

⇒ =

⇒ a = (4x - 3) ft

∴ The length of the one side of the square room(a) = (4x - 3) ft

a is the right answer

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1