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.

    Related Questions to study

    General
    Maths-

    𝐼 is the midpoint of 𝐻𝐽 and 𝐻𝐽 = 12.8 𝑐𝑚
    Find 𝐻𝐼 𝑎𝑛𝑑 𝐼𝐽.

    𝐼 is the midpoint of 𝐻𝐽 and 𝐻𝐽 = 12.8 𝑐𝑚
    Find 𝐻𝐼 𝑎𝑛𝑑 𝐼𝐽.

    Maths-General
    General
    Maths-

    Determine whether 𝐴𝐵 and 𝐶𝐷 are congruent. 𝐴 ≡ (3,4), 𝐵 ≡ (−2,4), 𝐶 ≡ (1, −3), 𝐷 ≡ (1,2).

    Determine whether 𝐴𝐵 and 𝐶𝐷 are congruent. 𝐴 ≡ (3,4), 𝐵 ≡ (−2,4), 𝐶 ≡ (1, −3), 𝐷 ≡ (1,2).

    Maths-General
    General
    Maths-

    Explain the advantages of using substitution to solve the system of equations instead of elimination: X= 6+ y
    48=2X+ 2Y

    Explain the advantages of using substitution to solve the system of equations instead of elimination: X= 6+ y
    48=2X+ 2Y

    Maths-General
    parallel
    General
    Maths-

    A class plants a tree. Sketch the graph of the height of the tree over time. Identify the two variables ?
    Describe the relationship between the two variables ?
    Sketch the graph.

    A class plants a tree. Sketch the graph of the height of the tree over time. Identify the two variables ?
    Describe the relationship between the two variables ?
    Sketch the graph.

    Maths-General
    General
    Maths-

    Identify congruent segments.
    𝑋𝑌 = 2.1 𝑐𝑚, 𝐴𝐵 = 4 𝑐𝑚, 𝑌𝑍 = 4 𝑐𝑚, 𝑃𝑄 = 2.1 𝑐𝑚

    Identify congruent segments.
    𝑋𝑌 = 2.1 𝑐𝑚, 𝐴𝐵 = 4 𝑐𝑚, 𝑌𝑍 = 4 𝑐𝑚, 𝑃𝑄 = 2.1 𝑐𝑚

    Maths-General
    General
    Maths-

    Solve Each system : Explain your choice of Solution method
    2X - 3Y = 14
    5X + 4Y = 12

    Solve Each system : Explain your choice of Solution method
    2X - 3Y = 14
    5X + 4Y = 12

    Maths-General
    parallel
    General
    Maths-

    The first and the last bird are sitting 40 cm apart. Find the distance between the third and the fourth bird using the segment addition postulate.

    The first and the last bird are sitting 40 cm apart. Find the distance between the third and the fourth bird using the segment addition postulate.

    Maths-General
    General
    Maths-

    Solve System of equations using Substitution :
    Y = 2X-1
    2X  +3 Y =  -7

    Solve System of equations using Substitution :
    Y = 2X-1
    2X  +3 Y =  -7

    Maths-General
    General
    Maths-

    Find the distance between the coffee shop and the school.

    Find the distance between the coffee shop and the school.

    Maths-General
    parallel
    General
    Maths-

    Solve Each system : Explain your choice of Solution method
    5X - 2Y = - 6
    3X - 4Y = - 26

    Solve Each system : Explain your choice of Solution method
    5X - 2Y = - 6
    3X - 4Y = - 26

    Maths-General
    General
    Maths-

    Solve Each system : Explain your choice of Solution method
    8X - 4Y = - 4
    X= Y - 4

    Solve Each system : Explain your choice of Solution method
    8X - 4Y = - 4
    X= Y - 4

    Maths-General
    General
    Maths-

    Hari rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes and then continues in the same direction at a slower pace for 30 more minutes. Sketch a graph of the relationship of Hari’s distance from home over time ?

    Hari rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes and then continues in the same direction at a slower pace for 30 more minutes. Sketch a graph of the relationship of Hari’s distance from home over time ?

    Maths-General
    parallel
    General
    Maths-

    Solve Each system : Explain your choice of Solution method .
    6X - 5Y= - 1
    6X + 4Y= - 10

    Solve Each system : Explain your choice of Solution method .
    6X - 5Y= - 1
    6X + 4Y= - 10

    Maths-General
    General
    Maths-

    Solve System of equations using Substitution :
    X = Y  + 6
    X + Y = 10

    Solve System of equations using Substitution :
    X = Y  + 6
    X + Y = 10

    Maths-General
    General
    Maths-

    At a Clothing Store , 3 shirts and 8 hats costs $65.The Cost for 2 shirts and 2 Hats is $30.How much does each shirt and hat cost ?

    At a Clothing Store , 3 shirts and 8 hats costs $65.The Cost for 2 shirts and 2 Hats is $30.How much does each shirt and hat cost ?

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.