Mathematics
Grade9
Easy

Question

Find the value of the x when the distance between the points (-2, -3) and (-3, x) is equal to 5.

  1. 2 square root of 6
  2. square root of 6
  3. 2 square root of 7
  4. 3 square root of 6

hintHint:

The radius of circle is the distance between center of circle and any point on the circle. Using distance between two points formula find x.

The correct answer is: 2 square root of 6


    If there are two points left parenthesis x subscript 1 comma y subscript 1 right parenthesis and left parenthesis x subscript 2 comma y subscript 2 right parenthesis ,then distance between two points is 

    Error converting from MathML to accessible text.
    Distance between points is (-2, -3) and (-3, x) = 5
    square root of left parenthesis x minus h right parenthesis squared plus left parenthesis y minus k right parenthesis squared end root equals 5
square root of left parenthesis negative 3 minus left parenthesis negative 2 right parenthesis right parenthesis squared plus left parenthesis x minus left parenthesis negative 3 right parenthesis right parenthesis squared end root equals 5
square root of left parenthesis negative 1 right parenthesis squared plus left parenthesis x plus 3 right parenthesis squared end root equals 5 space left parenthesis s q u a r i n g space o n space b o t h space s i d e right parenthesis
1 plus left parenthesis x plus 3 right parenthesis squared equals 25
left parenthesis x plus 3 right parenthesis squared equals 24
straight x plus 3 equals square root of 24
straight x space equals 2 square root of 6 space minus space 3 space equals space 4.9 space minus space 3 space equals space 1.9 space left parenthesis a p p r o x. right parenthesis
    Therefore, value of x is 1.9

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