Respuesta :
The distance between the given points is 7.2 units.
Given:
The two points are [tex]H(8,1)[/tex] and [tex]K(4,7)[/tex].
To find:
The distance between the given points.
Explanation:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, we get
[tex]D=\sqrt{(4-8)^2+(7-1)^2}[/tex]
[tex]D=\sqrt{(-4)^2+(6)^2}[/tex]
[tex]D=\sqrt{16+36}[/tex]
[tex]D=\sqrt{52}[/tex]
[tex]D\approx 7.2[/tex]
Therefore, the distance between the given points is 7.2 units.
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