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, we can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging the coordinates into the formula, we get:
d = √((-4 - 2)^2 + (-9 - 3)^2)
Simplifying:
d = √((-6)^2 + (-12)^2)
d = √(36 + 144)
d = √180
To round to the nearest hundredth, we can use a calculator or approximation:
d ≈ 13.42
Therefore, the distance between (2, 3) and (-4, -9) is approximately 13.42.