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olya-2409 [2.1K]
3 years ago
7

The base of a triangle measures (3x − 6) units and the height measures (2x + 4) units.

Mathematics
1 answer:
ella [17]3 years ago
5 0

Answer With Step-by-step explanation:

Part A:

.5[ (3x – 6) (2x + 4) ]

.5(6x^2 - 24)

3x^2 - 12

Part B:

Second Degree Binomial

Part C:

For Part A, a polynomial was multiplied by another polynomial. The resulting product was a polynomial. This is a demonstration of the closure property for multiplying polynomials.

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Find an<br> expression which represents the sum of (7x - 8y) and (-6x - 6y) in<br> simplest terms.
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Answer:

\displaystyle (7x - 8y) + (-6x - 6y) = x - 14y

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em />\displaystyle (7x - 8y) + (-6x - 6y)<em />

<em />

<u>Step 2: Simplify</u>

  1. Combine like terms (x):                                                                                    \displaystyle (7x - 8y) + (-6x - 6y) = x - 8y - 6y
  2. Combine like terms (y):                                                                                    \displaystyle (7x - 8y) + (-6x - 6y) = x - 14y
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Step-by-step explanation:

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