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777dan777 [17]
3 years ago
7

Determine the slope of the line that contains the given points. T(4, 6), V(8, 7)

Mathematics
2 answers:
alexandr1967 [171]3 years ago
5 0

slope = (y2-y1)/ (x2-x1)

 m = (7-6)/(8-4)

 m = 1/4

Choice C

Vesna [10]3 years ago
5 0

Answer choice C because to find slope the formula is (y2-y1)/(x2-x1)

Given the formula you would do (7-6)/(8-4)

Then when done so you would have gotten an answer of 1/4

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Which of the following is a rational number?<br> Α. π<br> B. 12.13141516...<br> C. V16<br> D. V7
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Find the value of x in the model.<br> Key<br><br> x = 2<br> x = -2<br> x = 4<br> x = -4
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4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
Luden [163]

Answer:

x = -10

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   36 - 4.5x + 36 = 102 - 7.5x - 60
  2. Combine like terms:                   -4.5x + 72 = -7.5x + 42
  3. Add 7.5x on both sides:             3x + 72 = 42
  4. Subtract 72 on both sides:        3x = -30
  5. Divide 3 on both sides:              x = -10

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)
  2. Simplify:                               4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)
  3. Multiply:                               4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)
  4. Add:                                     4.5(18) + 36 = 102 - 2.5(-6)
  5. Multiply:                               81 + 36 = 102 + 15
  6. Add:                                     117 = 117

Here we see that 117 does indeed equal to 117.

∴ x = -10 is a solution of the equation.

7 0
3 years ago
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