Respuesta :

raphealnwobi

Answer:

The answer is below

Step-by-step explanation:

Let us assume that each box represent 1 unit. Therefore we can get the coordinate of G and H. From the graph, the coordinate of G is (-2, -3) while the coordinate of H is at (0, 3).

The distance between two points A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]) on the coordinate plane is:

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

The distance between G(-2, -3) and H(0, 3) is:

[tex]|GH|=\sqrt{(0-(-2))^2+(3-(-3))^2}=\sqrt{4+36}=\sqrt{40}\\ \\|GH|=6.325\ units[/tex]

akposevictor

Using the distance formula, GH = 6.3 units.

What is the Distance Formula?

Given the coordinates of two points on a coordinate plane, the formula for finding the distance between them is: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex]

Given:

  • H(0, 3)
  • G(-2, -3)

Plug in the values into the distance formula:

[tex]GH = \sqrt{(-3 - 3)^2 + (-2 - 0)^2} \\\\GH = \sqrt{36 + 4} \\\\GH = 6.3[/tex]

Therefore, using the distance formula, GH = 6.3 units.

Learn more about distance formula on:

https://brainly.com/question/661229

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