Point J (−4, −6) and point K (4, 4) are located on a coordinate grid. A blank one is shown above.
Which measurement is closest to the distance between point J and point K in units?
A) 18 units
B) 6 units
C) 13 units
D) 9 units

Point J 4 6 and point K 4 4 are located on a coordinate grid A blank one is shown above Which measurement is closest to the distance between point J and point K class=

Respuesta :

Square root. (-4-4)^2 +(-6-4)^2
Square root 64+100
Square root 164
C.

  By using the expression for the distance between two points J and K will be 13 units.

   Distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the expression,

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

 Points given in the question,

  • J(-4, -6) and K(4, 4)

Therefore, distance between these points will be,

JK = [tex]\sqrt{(4+4)^2+(4+6)^2}[/tex]

JK = [tex]\sqrt{64+100}[/tex]

    = [tex]\sqrt{164}[/tex]

    = 12.80

    ≈ 13 units

    Therefore, distance between the given points J and K is 13 units.

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