Maths-
General
Easy

Question

If 𝑋 ≡ (−7,0) 𝑎𝑛𝑑 𝑌 ≡ (3,0), find the distance between the points 𝑋 and 𝑌.

hintHint:

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

The correct answer is: 10 units.


    Step by step explanation:
      • Given:
    Points X (-7, 0) and Y (3, 0).
    • Step 1:
    • Find distance:
    Distance =  square root of open parentheses straight x subscript 2 minus straight x subscript 1 close parentheses squared plus open parentheses straight y subscript 2 minus straight y subscript 1 close parentheses squared end root
    Distance =  square root of left parenthesis 3 minus left parenthesis negative 7 right parenthesis right parenthesis squared plus left parenthesis 0 minus 0 right parenthesis squared end root
    Distance =  square root of left parenthesis 3 plus 7 right parenthesis squared plus left parenthesis 0 minus 0 right parenthesis squared end root
    Distance =  square root of left parenthesis 10 right parenthesis squared plus left parenthesis 0 minus 0 right parenthesis squared end root
    Distance =  square root of 100
    Distance = 10 units.
    Hence, distance between points 10 units.

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