Maths-
General
Easy

Question

Find the length of the segment. Round to the nearest tenth of a unit. 𝐴 ≡ (1, −2), 𝐵 ≡ (5, −4)

hintHint:

Distance between two points having coordinates (x1, y1) and (x2, y2) is given by formula:
Distance = square root of open parentheses x subscript 2 minus x subscript 1 close parentheses squared plus open parentheses y subscript 2 minus y subscript 1 close parentheses squared end root

The correct answer is: 4.47 units.


    • Step by step explanation:
    ○        Given:
    Points A (1, -2) and B (5, -4).
    ○        Step 1:
    ○        Find distance:
    ○     Distance = equals square root of open parentheses x subscript 2 minus x subscript 1 close parentheses squared plus open parentheses y subscript 2 minus y subscript 1 close parentheses squared end root
    Distance = square root of left parenthesis 5 minus 1 right parenthesis squared plus open parentheses negative 4 minus left parenthesis negative 2 right parenthesis squared close end root
    rightwards double arrowDistance = square root of left parenthesis 4 right parenthesis squared plus left parenthesis negative 4 plus 2 right parenthesis squared end root
    rightwards double arrowDistance = square root of left parenthesis 4 right parenthesis squared plus left parenthesis negative 2 right parenthesis squared end root
    rightwards double arrowDistance = equals square root of 16 plus 4 end root
    rightwards double arrowDistance = square root of 20
    rightwards double arrowDistance = 4.47 units
    ●       Final Answer:
    Hence, the distance between points is 4.47 units.

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