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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)
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)

This Question is Closed

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2area = product of adjacent sides so area = (4x + 5)(3x + 10) can you expand this?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2= 4(3x + 10) + 5(3x + 10) can you continue?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2do you follow why (4x + 5)(3x + 10) is the expression for the area of the rectangle?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2(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)

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2placing them together means they are to be multiplied

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2(4x + 5)(3x + 10) now we have to first multiply (3x + 10) by 4x then by 5 = 4x(3x + 10) + 5(3x + 10)

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2yes right that represents the are of the rectangle

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2Part B the degree of the expression is the highest power which is in 12x^2 so its degree 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So that answer is for part a? 12x^2+55x+50?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2ant its an example of a polynomial In fact as it has 3 terms so its a trinomial thats part B

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The last two comments you said correct?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2First its degree 2 and its classified as a trinomial.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2thats answer to part B

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OK THANK YOU SO MUCH!!!!!!!!!!!!!!!!!!!!!!!

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2yw 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
 one year ago
Best ResponseYou've already chosen the best response.0Thats all for part c?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can you help me with 1 more?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2one polynomial multiplied another polynomial gives another polynomial

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2sorry i gotta go right now

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0A 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)
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