anniechavarria
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URGENT!!! Jessi is making curtains for her bedroom windows. She must add the areas of two windows to determine the amount of cloth she needs. The area of the first window is modeled by 5y2 + 10y + 10, and the area of the second window is modeled by 6y2 − 10y + 2. Identify the polynomial that represents the total area of the two windows.

URGENT Jessi is making curtains for her bedroom windows She must add the areas of two windows to determine the amount of cloth she needs The area of the first w class=

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elcharly64

Answer:

[tex]11y^2+12[/tex]

Correct answer: the third option

Step-by-step explanation:

Addition of Polynomials

Polynomials can be added following the rule: Only terms with the same variables and the same exponents for each can be added. For example, the terms [tex]3x^2y^3[/tex] and [tex]8x^2y^3[/tex] can be added to produce [tex]11x^2y^3.[/tex]

The area of a window is represented by

[tex]5y^2 + 10y + 10[/tex]

And the area of another window is represented by

[tex]6y^2 - 10y + 2[/tex]

We are required to add those functions. We'll follow the mentioned rule

[tex]5y^2 + 10y + 10+6y^2 - 10y + 2=(5+6)y^2+(10-10)y+(10+2)[/tex]

Simplifying, the sum is

[tex]11y^2+12[/tex]

Correct answer: the third option

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