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help_people

  • one year ago

Can you check if this is right?

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  1. help_people
    • one year ago
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    The lengths of two sides of a triangle are shown below: Side 1: 3x2 − 4x − 1 Side 2: 4x − x2 + 5 The perimeter of the triangle is 5x3 − 2x2 + 3x − 8. Part A: What is the total length of the two sides, 1 and 2, of the triangle? Part B: What is the length of the third side of the triangle? Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer.

  2. help_people
    • one year ago
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    Part A: To get the total length of the two sides you ahem to add them together: 3x^2 - 4x -1 -x^2+4x+5 -------------- 2x^2+4 Part B: To find the length of the third side of the triangle you will add the perimeter and the total length of the two sides together: 5x^3 - 2x^2 + 3x -8 -(2x^2 +4) ---------------------- 5x^3 - 4x^2 + 3x -12

  3. help_people
    • one year ago
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    idk what they're asking for in pt c?

  4. hartnn
    • one year ago
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    perimeter = side 1 + side 2 + side 3 so side 3 = perimeter - (side 1 + side 2)

  5. hartnn
    • one year ago
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    lets first correct the answer of part B :)

  6. hartnn
    • one year ago
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    To find the length of the third side of the triangle you will subtract the total length of the two sides from the perimeter

  7. help_people
    • one year ago
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    woat so part b is wrong?

  8. hartnn
    • one year ago
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    yes, part B is wrong.

  9. help_people
    • one year ago
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    @hartnn

  10. help_people
    • one year ago
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    ok

  11. hartnn
    • one year ago
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    the words in part B are incorrect, the answer is correct, because you indeed subtracted the answer from part A. just replace the description in your part B. ------ Part B: To find the length of the third side of the triangle you will subtract the total length of the two sides from the perimeter. 5x^3 - 2x^2 + 3x -8 -(2x^2 +4) ---------------------- 5x^3 - 4x^2 + 3x -12

  12. help_people
    • one year ago
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    ok

  13. hartnn
    • one year ago
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    Part C: Polynomials are closed under addition if you get a polynomial by adding polynomials. Did you get a polynomial answer for part A? Polynomials are closed under subtraction if you get a polynomial by subtracting polynomials. Did you get a polynomial answer for part B?

  14. help_people
    • one year ago
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    yes and yes right?

  15. hartnn
    • one year ago
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    good! since we get a polynomial after adding and subtracting polynomials, we can conclude, that the polynomials are closed under addition and subtraction.

  16. help_people
    • one year ago
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    thank you! may you check 2 more?

  17. help_people
    • one year ago
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    @hartnn ??

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