Find the distance between the points (-5, -10) and (2, 4).
4.58
12.12
15.65
21
Question & Answer
Calculating the Distance Between Two Points in Coordinate Geometry
2 Answers
Verified archiveTo find the distance between the points (-5, -10) and (2, 4), we can use the distance formula:
[
d = sqrt{(x_2 – x_1)^2 + (y_2 – y_1)^2}
]
Here, ((x_1, y_1) = (-5, -10)) and ((x_2, y_2) = (2, 4)).
1. Calculate (x_2 – x_1):
[
2 – (-5) = 2 + 5 = 7
]
2. Calculate (y_2 – y_1):
[
4 – (-10) = 4 + 10 = 14
]
3. Now apply the distance formula:
[
d = sqrt{(7)^2 + (14)^2} = sqrt{49 + 196} = sqrt{245}
]
4. Simplify (sqrt{245}):
[
sqrt{245} approx 15.65
]
So, the distance between the points is approximately 15.65.
To find the distance between the points (-5, -10) and (2, 4), we can use the distance formula:
[
d = sqrt{(x_2 – x_1)^2 + (y_2 – y_1)^2}
]
Here, ((x_1, y_1) = (-5, -10)) and ((x_2, y_2) = (2, 4)).
1. Calculate (x_2 – x_1):
[
2 – (-5) = 2 + 5 = 7
]
2. Calculate (y_2 – y_1):
[
4 – (-10) = 4 + 10 = 14
]
3. Now apply these values in the formula:
[
d = sqrt{(7)^2 + (14)^2} = sqrt{49 + 196} = sqrt{245}
]
4. Calculate (sqrt{245}):
[
sqrt{245} approx 15.65
]
So, the distance between the points is approximately 15.65.