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anonymous

  • one year ago

please help!

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  1. anonymous
    • 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? (4 points) Part B: What is the length of the third side of the triangle? (4 points) 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 points)

  2. welshfella
    • one year ago
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    Part A total length = 3x^2 - 4x - 1 + 4x - x^2 + 5

  3. anonymous
    • one year ago
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    Thats the whole answer?

  4. anonymous
    • one year ago
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    @welshfella

  5. anonymous
    • one year ago
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    3rd side is 5x^3

  6. anonymous
    • one year ago
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    Thank you! Can you help me with part C please!

  7. anonymous
    • one year ago
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    sure!

  8. anonymous
    • one year ago
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    Thank you!

  9. anonymous
    • one year ago
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    you need to use algebraic properties associative or commutative

  10. anonymous
    • one year ago
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    Can you help please!

  11. anonymous
    • one year ago
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    yeah, just a second. let me work it out. ok?

  12. anonymous
    • one year ago
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    ok no problem :]

  13. anonymous
    • one year ago
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    ok....see if this will help you...i had to type it in another program because it helps me with the math...

  14. anonymous
    • one year ago
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    Side 1 = 8x² - 5x - 2 Side 2 = 7x - x² + 3 Perimeter, P = 4x³ - 3x² + 2x - 6 A. ) Length, L = Side 1 + Side 2 Subbing known values, L = 8x² - 5x - 2 + 7x - x² + 3 L = 8x² - x² - 5x + 7x - 2 + 3 L = 7x² + 2x + 1 Total Length of Two Sides = 7x² + 2x + 1 ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ B.) Third Side, S = P - Side 1 - Side 2 Subbing, S = 4x³ - 3x² + 2x - 6 - (8x² - 5x - 2) - (7x - x² + 3) S = 4x³ - 3x² + 2x - 6 - 8x² + 5x + 2 - 7x + x² - 3 S = 4x³ - 3x² - 8x² + x² + 2x + 5x - 7x - 6 + 2 - 3 S = 4x³ - 10x² - 7 Third Side = 4x³ - 10x² - 7 ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ C.) Adding or subtracting the polynomials yields polynomials so they are closed under addition and subtraction.

  15. anonymous
    • one year ago
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    Okay thank you so much!

  16. anonymous
    • one year ago
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    wait...i might of did that wrong... wait...does your question have answers? or do you have to make them?

  17. anonymous
    • one year ago
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    I ahve to type them.

  18. anonymous
    • one year ago
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    oh...ok well i hope this helps...and i hope it is right...im pretty positive they are...

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