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anonymous

  • one year ago

Help please?? Will give medal and will fan! The area of a rectangle is (16x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely.

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  1. anonymous
    • one year ago
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    @200205650 @Nnesha

  2. anonymous
    • one year ago
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    Okay so you know that in order to solve the problem you would need to factor\[16x^2 - 9y^2\]

  3. anonymous
    • one year ago
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    Mhm

  4. anonymous
    • one year ago
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    What I do when I see these type of equations is to see if the numbers in front of the x and y can be square rooted.

  5. anonymous
    • one year ago
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    16 and 9 can be square rooted to 4 and 3 so let's split the equation starting with that.

  6. anonymous
    • one year ago
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    \[(4x \pm 3y) (4x \pm 3y)\]

  7. anonymous
    • one year ago
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    I put a plus and minus sign in the middle so we can determine what sign we should use.

  8. anonymous
    • one year ago
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    What is that symbol?

  9. anonymous
    • one year ago
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    Just pretend that symbol is a box. We need to figure out what sign to put in the middle. That's why I put that. Don't let that sign confuse you okay?

  10. anonymous
    • one year ago
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    Okay

  11. anonymous
    • one year ago
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    Since the actual equation has a minus sign in the middle that means the two equations have to cancel out the middle term of that equation. The middle term, for example, can be seen in the equation below:\[ax^2 +bx +c\] The term "bx is the middle term. The question however doesn't give us a middle term because it is saying that the middle term is 0.

  12. anonymous
    • one year ago
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    I'll give you 3 answer choices. Tell me which equation will cancel out the middle term for the question that was given to you\[16x^2-9y^2\]A.) (4x + 3y) (4x +3y) B.) (4x + 3y) (4x - 3y) C.) (4x - 3y) (4x - 3y)

  13. anonymous
    • one year ago
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    B

  14. anonymous
    • one year ago
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    One of these answers can cancel out the middle term. Do you know how to factor equations? That can help when finding which choice it will be.

  15. anonymous
    • one year ago
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    Oh never mind you got it!

  16. anonymous
    • one year ago
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    That is the correct answer and your final answer.

  17. anonymous
    • one year ago
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    Oh okay thanks!

  18. anonymous
    • one year ago
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    (4x + 3y) (4x - 3y) = 16x^2 - 9y^2

  19. anonymous
    • one year ago
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    And you're welcome!

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spraguer (Moderator)
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