Question

Given the graph below, find GH.

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Is this asking to find the coordinates, or to find the distance?

Answer 1

`GH = 6.3` (nearest tenth)

Explanation:

Given:

G(-2, -3)

H(0, 3)

Required:

Distance between point G and H = GH

Solution:

Distance between G(-2, -3) and H(0, 3):

`GH = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

Let,

`G(-2, -3) = (x_1, y_1)`

`H(0, 3) = (x_2, y_2)`

`GH = √((0 - (-2))^2 + (3 - (-3))^2)`

`GH = √((2)^2 + (6)^2)`

`GH = √(4 + 36) = √(40)`

`GH = 6.3` (nearest tenth)