anonymous
  • anonymous
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)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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welshfella
  • welshfella
area = product of adjacent sides so area = (4x + 5)(3x + 10) can you expand this?
welshfella
  • welshfella
= 4(3x + 10) + 5(3x + 10) can you continue?
welshfella
  • welshfella
r u there?

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anonymous
  • anonymous
Sorry yes.
anonymous
  • anonymous
I am confused.
welshfella
  • welshfella
do you follow why (4x + 5)(3x + 10) is the expression for the area of the rectangle?
anonymous
  • anonymous
A little....
welshfella
  • welshfella
(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)
anonymous
  • anonymous
Ok okay :]
welshfella
  • welshfella
placing them together means they are to be multiplied
anonymous
  • anonymous
O okay :]
welshfella
  • welshfella
(4x + 5)(3x + 10) now we have to first multiply (3x + 10) by 4x then by 5 = 4x(3x + 10) + 5(3x + 10)
welshfella
  • welshfella
ok?
anonymous
  • anonymous
Okay
welshfella
  • welshfella
can you do that?
anonymous
  • anonymous
yes 1 min :]
anonymous
  • anonymous
12x2+55x+50?
welshfella
  • welshfella
yes right that represents the are of the rectangle
welshfella
  • welshfella
Part B the degree of the expression is the highest power which is in 12x^2 so its degree 2
anonymous
  • anonymous
So that answer is for part a? 12x^2+55x+50?
welshfella
  • welshfella
yes
anonymous
  • anonymous
OKay :]
welshfella
  • welshfella
ant its an example of a polynomial In fact as it has 3 terms so its a trinomial thats part B
anonymous
  • anonymous
The last two comments you said correct?
welshfella
  • welshfella
First its degree 2 and its classified as a trinomial.
welshfella
  • welshfella
thats answer to part B
anonymous
  • anonymous
OK THANK YOU SO MUCH!!!!!!!!!!!!!!!!!!!!!!!
anonymous
  • anonymous
What part C lol.
welshfella
  • welshfella
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
anonymous
  • anonymous
Thats all for part c?
welshfella
  • welshfella
yes
anonymous
  • anonymous
Can you help me with 1 more?
welshfella
  • welshfella
one polynomial multiplied another polynomial gives another polynomial
welshfella
  • welshfella
sorry i gotta go right now
anonymous
  • anonymous
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)
anonymous
  • anonymous
Oh ok :-/

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