Please help this us so confusing

The surface area of the prism is 48 units².

Step-by-step explanation:

Remember, a net is simply the outer surface of a 3D shape flattened and spread out as a combination of 2D shapes.

With this info, the rest is relatively easy.

The net shows that there are 4 rectangular sides and 2 square sides. We also know the lengths and widths of all of them.

One rectangle is 5 units long and 2 units wide. One square is 2 units long and 2 units wide.

Let's put this into an equation.

4( 5*2 ) + 2( 2*2)

We are adding the areas of the rectangles and squares.

So, let's simplify that equation.

4(10) + 2(4)

40 + 8

48

x = -4 y = -1

Step-by-step explanation:

Solve for each variable by creating an equation and plugging it in to the other given equation.

- Equation to solve for x: x = -4y - 8

- Plug this equation into the other, solving for y so you have:

6(-4y-8)- 2y = -22 => -24y - 48 - 2y = -22 => -26y = 26 =>  y = -1

- Take this value and plug into the equation we created for x:

x = -4(-1) - 8 => x = 4 -8 => x = -4

- Check your work with given equation 6x -2y = 22:

6(-4) - 2(-1) = -22 => -24 +2 = -22 => -22 = -22