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algol [13]
3 years ago
14

What is the slope of the line that connects the points (0,7) and (4,15)

Mathematics
1 answer:
vladimir2022 [97]3 years ago
3 0

Answer:

m=2

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS

<u>Alg I</u>

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

Step-by-step explanation:

<u>Step 1: Define</u>

Point (0, 7)

Point (4, 15)

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

  1. Substitute:                    m=\frac{15-7}{4-0}
  2. Subtract:                       m=\frac{8}{4}
  3. Divide:                           m=2
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The diagram of the lawn and the shed is shown below.

The area of the lawn needed to be mowed equals to the area of the yard minus the area of the shed

The area of the yard = (5x)(13x-4) = 65 x^{2} -20x
The area of the shed = (2x)(2x+4)=4 x^{2} +8x

The area of the lawn = 65 x^{2} -20x-(4 x^{2} +8x)
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3 years ago
Find the 6th term of the arithmetic sequence X – 9, -X – 11, -3.3 – 13, ...
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Answer:

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Step-by-step explanation:

Given sequence:  x-9, -x-11, -3x-13

Therefore,

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To find the common difference, subtract a term from the next term:

\begin{aligned}d & =a_2-a_1\\ & =(-x-11)-(x-9)\\ & = -x-11-x+9\\ & = -2x-2\end{aligned}

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To find the 6th term, input n = 6 into the equation:

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