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Alenkinab [10]
3 years ago
9

Find the distance between the two points S (-5,-2) and T (-3,4).

Mathematics
1 answer:
icang [17]3 years ago
6 0

Answer:

d =2 \sqrt{10}

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra II</u>

  • Distance Formula: d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

S (-5, -2)

T (-3, 4)

<u>Step 2: Find distance </u><em><u>d</u></em>

  1. Substitute:                    d = \sqrt{(-3+5)^2+(4+2)^2}
  2. Add:                              d = \sqrt{(2)^2+(6)^2}
  3. Evaluate:                      d = \sqrt{4+36}
  4. Add:                              d = \sqrt{40}
  5. Simplify:                       d =2 \sqrt{10}
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