Question

To the nearest hundredth, what is the length of line segment AB ?

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The length of line segment AB is approximately units.

Answer 1

The answer is 8.25 units

I took the test :)

Answer 2

Option (d) is correct.

The length of the given line segment is 8.25 units.

Explanation:

Given : A graph showing a line segment.

We have to determine the length of the given line segment.

Since, the end coordinate of the line segment is (2,2) and (-6,4)

We will calculate the distance between the end points to find the length of the line segment.

Distance can be calculated using distance formula

`D=√(\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2)`

Here,
`\left(x_1,\:y_1\right)=(2,2),\:\left(x_2,\:y_2\right)=(-6,4)`

Substitute, we have,

`=√(\left(-6-2\right)^2+\left(4-2\right)^2)`

Simplify, we have,

`=2√(17)=8.246`

Thus, The length of the given line segment is 8.25 units.