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olga_2 [115]
3 years ago
12

A rectangle has sides measuring (6x + 4) units and (2x + 11) units.

Mathematics
1 answer:
rusak2 [61]3 years ago
5 0

Answer:

Step-by-step explanation:

Part A)

      Area Rectangle = base x height = length x width  = side1 x side2

                                 = (6x + 4) (2x +11)

                                 =  (6x) (2x +11) + 4(2x + 11)

                                 =  12x² + 66x + 8x + 44

                                 = 12x² + 74x + 44

Part B)  I don't know these terms but if I had to guess.......  second degree and polynomial ????   possibly quadratic ????

Part C) Sorry, I don't know what the closure property is, so I can't explain how it demostrates it.  

I can do the math, but I didn't know or have long forgotten the trival termonology.  I looked up the closure property in Gaggle and I still don't understand it.  

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This is a basic algebraic fraction question

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The line plot shows the weights of all the fish caught on a fishing trip.
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Is the product of x-4 and 5x^2-3x+6 equal to the product of x+4 and -5x^2+2x-6?
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Not equal

Step-by-step explanation:

To find if they are equal, find the product of each first by multiplying each term using exponent rules.

(x-4)(5x^2-3x+6) \\\\5x^3 -20x^2 - 3x^2 + 12x + 6x - 24\\\\ 5x^3 - 23x^2 + 18x - 24

and

(x+4)(-5x^2+2x-6)\\\\-5x^3 - 20x^2 + 2x^2+8x-6x-24\\\\-5x^3-18x^2 +2x - 24

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Heather says that the expressions 4 x minus 2 x plus 8 and 2 left parenthesis x plus 4 right parenthesis are not equivalent beca
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Yes, Heather is correct. The expressions are not equivalent

<em><u>Solution:</u></em>

Given that,

Heather says, the following expressions are not equivalent

4x - 2x + 8\ and\ 2(x-4)

Because one expression has a term that is subtracted and the other does not

<em><u>Combine the like terms in first expression:</u></em>

4x - 2x + 8 = 2x +8

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