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lana [24]
3 years ago
13

Find the midpoint of the line segment

Mathematics
1 answer:
strojnjashka [21]3 years ago
5 0

Answer:

midpoint (5,4)

Step-by-step explanation:

The midpoint(M) of a segment with endpoints (x₁ , y₁) and ( x₂,  y₂) is

where x₁ = 2 and x₂ = 8

y₁ = 0 and y₂ = 8

M = \frac{x_1 + x_2}{2} ,\frac{y_1 + y_2}{2}

M = \frac{2 + 8}{2} ,\frac{0 + 8}{2}

M = 5 , 4

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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
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Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

6(x - 1) = 9(x - 4)

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

  1. Distribute:                                   6x - 6 = 9x - 36
  2. Subtract 6x on both sides:        -6 = 3x - 36
  3. Isolate <em>x</em> term:                             30 = 3x
  4. Isolate <em>x</em>:                                      10 = x
  5. Rewrite:                                       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>:                    6(10 - 1) = 9(10 - 4)
  2. Subtract:                              6(9) = 9(6)

Here we see that the 2 expressions are exactly the same.

∴ x = 10 is the solution to the equation.

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