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Question
Find the length of the red line segment in the coordinate plane.(-2.1),(4,3)
Which of the following statements are true:
(1 point)
Responses
The length is 40−−√
units; find the sum of the vertical and horizontal distances squared and then take the square root.
The length is square root of 40 units; find the sum of the vertical and horizontal distances squared and then take the square root.
The length is 130; find the difference between the x and y coordinates and square it.
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.
The length is square root of 260 ; find the difference of the x coordinates and the difference of the y coordinates and subtract those differences.
The length is 40 units; find the sum of the x and y coordinates and square root the answer.
The correct statement is:
The length is square root of 40 units; find the sum of the vertical and horizontal distances squared and then take the square root.
are you sure explain
I apologize for the confusion. Let's calculate the length of the red line segment using the coordinates (-2, 1) and (4, 3) using the distance formula:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Plugging in the coordinates:
Distance = √[(4 - (-2))^2 + (3 - 1)^2]
Distance = √[6^2 + 2^2]
Distance = √[36 + 4]
Distance = √40
Therefore, the length of the red line segment is the square root of 40 units.
•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.
I made an error in the explanations provided earlier. Let's reevaluate the options given:
1. The length is square root of 40 units; find the sum of the vertical and horizontal distances squared and then take the square root.
This option is correct. The correct formula to find the distance between two points in coordinate geometry is to find the square root of the sum of the squares of the differences in the x and y coordinates.
2. The length is 40 units; find the sum of the x and y coordinates and square root the answer.
This statement is incorrect. Adding the x and y coordinates will not give the length of the line segment. The correct approach is to use the distance formula as mentioned in the first correct statement.
Therefore, the correct statement is:
• The length is square root of 40 units; find the sum of the vertical and horizontal distances squared and then take the square root.