Find the distance between (2, 3) and (−4, −9) . Round your answer to the nearest hundredth, if necessary.(1 point)
The distance between two points (x1, y1) and (x2, y2) can be found using the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the points are (2, 3) and (-4, -9).
Using the distance formula, we can calculate the distance:
d = sqrt((-4 - 2)^2 + (-9 - 3)^2)
= sqrt((-6)^2 + (-12)^2)
= sqrt(36 + 144)
= sqrt(180)
≈ 13.42
Rounded to the nearest hundredth, the distance is approximately 13.42.