Find AB when A(-4, 1) and B(3, -1)

Question

Find AB when
A(-4, 1) and B(3, -1)

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Hưng Khoa 1 year 2021-09-04T04:46:13+00:00 1 Answers 10 views 0

Answers ( )

    0
    2021-09-04T04:47:54+00:00

    Answer:

    [tex]\displaystyle d = \sqrt{53}[/tex]

    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: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

    Step-by-step explanation:

    Step 1: Define

    Point A(-4, 1)

    Point B(3, -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]:                                                       [tex]\displaystyle d = \sqrt{(3+4)^2+(-1-1)^2}[/tex]
    2. [√Radical] (Parenthesis) Add/Subtract:                                                         [tex]\displaystyle d = \sqrt{(7)^2+(-2)^2}[/tex]
    3. [√Radical] Evaluate exponents:                                                                     [tex]\displaystyle d = \sqrt{49+4}[/tex]
    4. [√Radical] Add:                                                                                                [tex]\displaystyle d = \sqrt{53}[/tex]

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