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

Question

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

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Thiên Hương 4 years 2021-07-28T05:52:00+00:00 1 Answers 10 views 0

Answers ( )

  1. hongcuc2
    0
    2021-07-28T05:53:10+00:00
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    Answer:

    \displaystyle d = 2\sqrt{10}

    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 (-5, -2) → x₁ = -5, y₁ = -2

    Point (-3, 4) → x₂ = -3, y₂ = 4

    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{(-3+5)^2+(4+2)^2}
    2. [√Radical] (Parenthesis) Add:                                                                        \displaystyle d = \sqrt{(2)^2+(6)^2}
    3. [√Radical] Evaluate exponents:                                                                    \displaystyle d = \sqrt{4+36}
    4. [√Radical] Add:                                                                                               \displaystyle d = \sqrt{40}
    5. [√Radical] Simplify:                                                                                         \displaystyle d = 2\sqrt{10}

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