Question

What’s the length of line segment GH? If you round, take it to one place past the decimal.

Answer 1

The length of the segment is 6.3 units

Using the pair of point which represents the coordinates of the line (-2, -3) ; (0, 3)

The distance can be obtained using the relation

Length =
`\sqrt{(x_(2) - x_(1))^(2) + (y_(2) - y_(1))^(2)}`

Inputting into the formula ;

Length = √(0 - (-2))² + (3 - (-3))²

Length = √40

Length = 6.3

Hence, the length of the segment is 6.3 units

Answer 2

length of segment GH will be 6.3 units.

Explanation:

Distance between two points
`(x_1,y_1)` and
`(x_2,y_2)` is given by the formula,

d =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

Coordinates of points G and H are (-2, -3) and (0, 3) respectively.

From the formula of distance between two points,

Distance between the points G and H=
`√((-2-0)^2+(-3-3)^2)`

=
`√(4+36)`

=
`√(40)`

= 6.32

≈ 6.3 units

Therefore, length of segment GH will be 6.3 units.