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aleksklad [387]
2 years ago
13

What is the slope of the line that passes through points (6, − 2) and (21, 3) ?

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
6 0

Answer:

m=\frac{1}{3}

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>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (6, -2)

Point (21, 3)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{3+2}{21-6}
  2. Add/Subtract:               m=\frac{5}{15}
  3. Simplify:                        m=\frac{1}{3}
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Tamara and Clyde got different answers when dividing 2x4 + 7x3 – 18x2 + 11x – 2 by 2x2 – 3x + 1. Analyze their individual work.
lys-0071 [83]

<em>Note: As you may have unintentionally missed to add the different answers, based on which we had to check who solved correctly between Tamara and Clyda's work. </em>

<em>But, I am actually solving the expression and you must note that whoever (between Tamara and Clyda's work) may have got the same answer or match the answer with mine, would be the one who solved correctly.</em>

Answer:

We conclude that whoever (between Tamara and Clyda's work) may have got the answer as x^2+5x-2 after dividing   2x^4\:+\:7x^3\:-\:18x^2\:+\:11x\:-\:2 by 2x^2\:-\:3x\:+\:1  , would be the one who solved it correctly.

Step-by-step explanation:

Considering the expression

                            2x^4\:+\:7x^3\:-\:18x^2\:+\:11x\:-\:2

Lets divide the expression by 2x^2\:-\:3x\:+\:1

Solution Steps:

\frac{2x^4+7x^3-18x^2+11x-2}{2x^2-3x+1}

Factorizing

2x^4+7x^3-18x^2+11x-2:\quad \left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)

\frac{\left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)}{2x^2-3x+1}

Factorizing

2x^2-3x+1:\quad \left(2x-1\right)\left(x-1\right)

\frac{\left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)}{\left(2x-1\right)\left(x-1\right)}

\mathrm{Cancel\:}\frac{\left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)}{\left(2x-1\right)\left(x-1\right)}:\quad x^2+5x-2

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Thus,

\frac{2x^4+7x^3-18x^2+11x-2}{2x^2-3x+1}=x^2+5x-2

Therefore, we conclude that whoever (between Tamara and Clyda's work) may have got the answer as x^2+5x-2 after dividing   2x^4\:+\:7x^3\:-\:18x^2\:+\:11x\:-\:2 by 2x^2\:-\:3x\:+\:1  , would be the one who solved it correctly.

Keywords: expression, division

Learn more about expression division from brainly.com/question/1575482

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(6x^2 - 3 - 5x^3) - (4x^3 +2x^2 - 8)

distribute the minus sign

(6x^2 - 3 - 5x^3) - 4x^3 -2x^2 + 8

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