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anonymous

  • one year ago

A rectangle has sides measuring (4x + 5) units and (3x + 10) 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)

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  1. welshfella
    • one year ago
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    area = product of adjacent sides so area = (4x + 5)(3x + 10) can you expand this?

  2. welshfella
    • one year ago
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    = 4(3x + 10) + 5(3x + 10) can you continue?

  3. welshfella
    • one year ago
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    r u there?

  4. anonymous
    • one year ago
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    Sorry yes.

  5. anonymous
    • one year ago
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    I am confused.

  6. welshfella
    • one year ago
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    do you follow why (4x + 5)(3x + 10) is the expression for the area of the rectangle?

  7. anonymous
    • one year ago
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    A little....

  8. welshfella
    • one year ago
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    (4x + 5) is the length of one side and (3x + 10) is the length of the other and the area of a rectangle = length * width ( which are 2 adjacent aides)

  9. anonymous
    • one year ago
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    Ok okay :]

  10. welshfella
    • one year ago
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    placing them together means they are to be multiplied

  11. anonymous
    • one year ago
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    O okay :]

  12. welshfella
    • one year ago
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    (4x + 5)(3x + 10) now we have to first multiply (3x + 10) by 4x then by 5 = 4x(3x + 10) + 5(3x + 10)

  13. welshfella
    • one year ago
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    ok?

  14. anonymous
    • one year ago
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    Okay

  15. welshfella
    • one year ago
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    can you do that?

  16. anonymous
    • one year ago
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    yes 1 min :]

  17. anonymous
    • one year ago
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    12x2+55x+50?

  18. welshfella
    • one year ago
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    yes right that represents the are of the rectangle

  19. welshfella
    • one year ago
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    Part B the degree of the expression is the highest power which is in 12x^2 so its degree 2

  20. anonymous
    • one year ago
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    So that answer is for part a? 12x^2+55x+50?

  21. welshfella
    • one year ago
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    yes

  22. anonymous
    • one year ago
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    OKay :]

  23. welshfella
    • one year ago
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    ant its an example of a polynomial In fact as it has 3 terms so its a trinomial thats part B

  24. anonymous
    • one year ago
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    The last two comments you said correct?

  25. welshfella
    • one year ago
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    First its degree 2 and its classified as a trinomial.

  26. welshfella
    • one year ago
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    thats answer to part B

  27. anonymous
    • one year ago
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    OK THANK YOU SO MUCH!!!!!!!!!!!!!!!!!!!!!!!

  28. anonymous
    • one year ago
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    What part C lol.

  29. welshfella
    • one year ago
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    yw Part C in part A we multiplied 2 polynomials (4x + 5) and ( 3x + 10) and obtained another polynomial. This demonstrated the closure property of polynomials

  30. anonymous
    • one year ago
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    Thats all for part c?

  31. welshfella
    • one year ago
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    yes

  32. anonymous
    • one year ago
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    Can you help me with 1 more?

  33. welshfella
    • one year ago
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    one polynomial multiplied another polynomial gives another polynomial

  34. welshfella
    • one year ago
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    sorry i gotta go right now

  35. anonymous
    • one year ago
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    A barrel of tomato sauce has spilled on a tile floor. The sauce flow can be expressed with the function r(t) = 2t, where t represents time in minutes and r represents how far the sauce is spreading. The spilled sauce is creating a circular pattern on the tile. The area of the pattern can be expressed as A(r) = πr2. Part A: Find the area of the circle of spilled sauce as a function of time, or A[r(t)]. Show your work. (6 points) Part B: How large is the area of spilled sauce after 5 minutes? You may use 3.14 to approximate π in this problem. (4 points)

  36. anonymous
    • one year ago
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    Oh ok :-/

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