8. Find the distance between the ordered pairs (-1, -3) and (2, 1). If necessary, round to the nearest tenth.

Question

8. Find the distance between the ordered pairs (-1, -3) and (2, 1). If necessary, round to the nearest tenth.

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Tryphena 4 years 2021-08-01T09:12:39+00:00 1 Answers 15 views 0

Answers ( )

  1. thaiduong
    0
    2021-08-01T09:14:21+00:00
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    Answer:

    \displaystyle d = 5

    General Formulas and Concepts:

    Pre-Algebra

    Order of Operations: BPEMDAS

    1. Brackets
    2. Parenthesis
    3. Exponents
    4. Multiplication
    5. Division
    6. Addition
    7. Subtraction
    • Left to Right

    Algebra I

    • Coordinates (x, y)

    Algebra II

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

    Step-by-step explanation:

    Step 1: Define

    Point (-1, -3)

    Point (2, 1)

    Step 2: Find distance d

    Simply plug in the 2 coordinates into the distance formula to find distance d

    1. Substitute in points [Distance Formula]:                                                         \displaystyle d = \sqrt{(2--1)^2+(1--3)^2}
    2. [√Radical] (Parenthesis) Subtract:                                                                   \displaystyle d = \sqrt{(3)^2+(4)^2}
    3. [√Radical] Evaluate exponents:                                                                       \displaystyle d = \sqrt{9+16}
    4. [√Radical] Add:                                                                                                 \displaystyle d = \sqrt{25}
    5. [√Radical] Evaluate:                                                                                         \displaystyle d = 5

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )