Question
Danny would like to build a ramp for her dog over some stairs. Compute the distance between points B and D
B (-2, -6)
D (5, 11)
B (-2, -6)
D (5, 11)
Answers
GPT 3.5
To calculate the distance between points B and D, we can use the distance formula:
Distance = Square root of [(x2 - x1)^2 + (y2 - y1)^2]
In this case, the coordinates of point B are (-2, -6) and the coordinates of point D are (5, 11).
Plugging these values into the distance formula:
Distance = Square root of [((5 - (-2))^2 + (11 - (-6))^2]
= Square root of [(5 + 2)^2 + (11 + 6)^2]
= Square root of [(7)^2 + (17)^2]
= Square root of [49 + 289]
= Square root of 338
Using a calculator, we can find that the square root of 338 is approximately 18.38.
Therefore, the distance between points B and D is approximately 18.38 units.
Distance = Square root of [(x2 - x1)^2 + (y2 - y1)^2]
In this case, the coordinates of point B are (-2, -6) and the coordinates of point D are (5, 11).
Plugging these values into the distance formula:
Distance = Square root of [((5 - (-2))^2 + (11 - (-6))^2]
= Square root of [(5 + 2)^2 + (11 + 6)^2]
= Square root of [(7)^2 + (17)^2]
= Square root of [49 + 289]
= Square root of 338
Using a calculator, we can find that the square root of 338 is approximately 18.38.
Therefore, the distance between points B and D is approximately 18.38 units.