Respuesta :

Answer:

1. [tex]4x^2 - x + 1.5[/tex]

Step-by-step explanation:

1. The prism has 6 surface faces. 2 of the surfaces are marked. The third is not. The surface area of the prism is given. Subtract the areas you know from the total surface area and divide it by 2. The result is the area of the last surface face.

[tex]18x^2+12x+22 -(8x^2+10x+17) - (2x^2+4x+2)\\18x^2 + 12x + 22 -8x^2 -10x - 17 - 2x^2 - 4x -2\\8x^2 - 2x + 3[/tex]

Divide this in 2.

The area of the unknown face is [tex]4x^2 - x + 1.5[/tex]

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