Find the distance between (2,3) and (-4, -9). Round your answer to the nearest hundredth, if necessary.
To find the distance between two points (x1, y1) and (x2, y2), we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates are:
x1 = 2, y1 = 3
x2 = -4, y2 = -9
Plugging these values into the distance formula, we get:
Distance = √((-4 - 2)^2 + (-9 - 3)^2)
Distance = √((-6)^2 + (-12)^2)
Distance = √(36 + 144)
Distance = √180
Distance ≈ 13.42
Rounded to the nearest hundredth, the distance between (2,3) and (-4, -9) is 13.42.