Find the length of the red line segment in the coordinate plane.

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(4,3)
·
(-21)
to
-
->
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Which of the following statements are true:
(1 point)
The length is √40 units; find the sum of the vertical and horizontal
distances squared and then take the square root.
The length is 40 units; find the sum of the x and y coordinates and square
root the answer.
The length is 130; find the difference between the x and y coordinates and
square it.
The length is √260; find the difference of the x coordinates and the
difference of the y coordinates and subtract those differences.

1 answer

To find the length of the red line segment in the coordinate plane, we can use the distance formula:

√( (x2 - x1)^2 + (y2 - y1)^2 )

Using the coordinates provided:
x1 = 4, y1 = 3
x2 = -2, y2 = -1

Plugging the values into the formula:
√( (-2 - 4)^2 + (-1 - 3)^2 )
= √((-6)^2 + (-4)^2)
= √(36 + 16)
= √52
≈ 7.21 units

Therefore, the length of the red line segment is approximately 7.21 units.

From the given statements, the statement "The length is √40 units; find the sum of the vertical and horizontal distances squared and then take the square root" is true.
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