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anonymous

  • one year ago

A rectangle has sides measuring (2x + 7) units and (5x + 9) units. Part A: What is the expression that represents the area of the rectangle? Show your work to receive full credit. (4 points) Part B: What are the degree and classification of the expression obtained in Part A? (3 points) Part C: How does Part A demonstrate the closure property for polynomials? (3 points) Can someone help me?

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  1. anonymous
    • one year ago
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    ??

  2. anonymous
    • one year ago
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    @zepdrix

  3. anonymous
    • one year ago
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    help

  4. anonymous
    • one year ago
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    PLS

  5. anonymous
    • one year ago
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    @freckles

  6. phi
    • one year ago
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    what is the formula for the area of a rectangle?

  7. anonymous
    • one year ago
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    yay phi

  8. anonymous
    • one year ago
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    its length times the width so so assuming (2x + 7) is the length and (5x + 9) is the width, the expression would be A=(2x + 7)(5x + 9)

  9. anonymous
    • one year ago
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    i got that for part A

  10. phi
    • one year ago
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    they probably want you to expand it (FOIL if you learned that)

  11. anonymous
    • one year ago
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    ive never learned that,no

  12. phi
    • one year ago
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    did you learn how to multiply two binomials ?

  13. anonymous
    • one year ago
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    yes i think so

  14. anonymous
    • one year ago
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    want me to?

  15. phi
    • one year ago
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    FOIL is to remember First 2x*5x Outer 2x*9 Inner 7*5x Last 7*9 or 10x^2 + 18x+35x+63 and finally 10x^2 +53x+63

  16. anonymous
    • one year ago
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    yea thats what i got

  17. anonymous
    • one year ago
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    is that part of Part A?

  18. phi
    • one year ago
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    yes, that is part A. (They want you to show your work... I assume you did)

  19. anonymous
    • one year ago
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    yay i got part a, so can you help with part B?

  20. phi
    • one year ago
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    Degree is the biggest exponent classification is polynomial

  21. anonymous
    • one year ago
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    so first degree binomial?

  22. anonymous
    • one year ago
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    is that right?

  23. phi
    • one year ago
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    \[ 10x^2 +53x+63 \] what is the biggest exponent (little number in the upper right)

  24. anonymous
    • one year ago
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    oops, 2nd degree

  25. anonymous
    • one year ago
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    trinomial

  26. anonymous
    • one year ago
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    i was looking at the the problem, not the solution for A=(2x + 7)(5x + 9) =10x^2 +53x+63

  27. phi
    • one year ago
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    yes. all the suffices bi, tri, quad are Latin for 2, 3, 4 It helps to know your Latin FYI, the expression (2x + 7)(5x + 9) even if not multiplied out, is 2nd degree (or "quadratic" )

  28. phi
    • one year ago
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    though we could not really call it trinomial if it's not multiplied out.

  29. anonymous
    • one year ago
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    so what do we call it

  30. phi
    • one year ago
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    part C is the same answer as the other problem, except use multiply instead of add or subtract.

  31. phi
    • one year ago
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    You posted the answers: 2nd degree, trinomial

  32. anonymous
    • one year ago
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    so for part c its (10x^2)(53x)(63) ?

  33. phi
    • one year ago
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    for part B, you might want to also call it quadratic (just in case that is what they are expecting) for part C, the idea is if you multiply two polynomials, the answer will be a polynomial in part A, you do that, and the answer was a polynomial

  34. anonymous
    • one year ago
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    do i put that for part c?

  35. phi
    • one year ago
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    in your own words.

  36. anonymous
    • one year ago
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    ok thankyou! Can you check my answers from the other question??

  37. anonymous
    • one year ago
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    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) Part A: The total length is 3x^2-x^2,which makes 2x^2+4 Part B: 4-12=-8 Part C:Part a and b both started with polynomials, and had a polynomial as an answer. So its showing that polynomials are closed under subtraction/addition.

  38. phi
    • one year ago
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    Part A you say ***The total length is 3x^2-x^2*** that leaves out quite a bit. if you add two polynomials, you have to put in the entire polynomial , not just the cute terms you like

  39. phi
    • one year ago
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    3x2 − 4x − 1 + 4x − x2 + 5

  40. anonymous
    • one year ago
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    so do i say "3x2 − 4x − 1+4x − x2 + 5=3x^2-x^2" ??

  41. phi
    • one year ago
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    the left side is good. the right side should be the "simplified" version for example you have 3 x^2 terms take away 1 x^2 term I would combine those to get just 2x^2 (not "3x^2-x^2" because that is not simplified) then do -4x + 4x (easy I hope?!) then do -1+5

  42. anonymous
    • one year ago
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    2x2+4

  43. phi
    • one year ago
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    yes. You had the correct answer, but how you got the answer looked dubious.

  44. anonymous
    • one year ago
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    ooh okay

  45. phi
    • one year ago
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    Part B I thought we did this. perimeter - (two sides) = 3rd side you should be showing polynomial (perimeter) - polynomial (from part A) = polynomial (answer)

  46. phi
    • one year ago
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    You got the answer in the other post.

  47. anonymous
    • one year ago
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    ill look back at it brb

  48. anonymous
    • one year ago
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    3x2−4x−1+4x−x2+5=2x^2+4 ?

  49. anonymous
    • one year ago
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    @phi

  50. anonymous
    • one year ago
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    no wait thats A 5x3−4x2+3x−12 ?

  51. phi
    • one year ago
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    first write down the polynomial for the perimeter then minus sign then (in parens) the polynomial from part A

  52. phi
    • one year ago
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    then = and finally the answer 5x3−4x2+3x−12

  53. anonymous
    • one year ago
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    5x3 − 2x2 + 3x − 8-(2x^2+4)= 5x3−4x2+3x−12?

  54. phi
    • one year ago
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    yes

  55. anonymous
    • one year ago
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    yaay thanks

  56. phi
    • one year ago
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    part C is ok

  57. phi
    • one year ago
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    good job. But if concentrate , it would go faster. We had to do that question twice.

  58. anonymous
    • one year ago
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    okay thankyou

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