The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula
$\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.$
For $(2,3)$ and $(-4,-9),$ this is $\sqrt{(-4 - 2)^2 + (-9 - 3)^2} = \sqrt{36 + 144} = \sqrt{180} = \boxed{13.42}.$
$\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.$
For $(2,3)$ and $(-4,-9),$ this is $\sqrt{(-4 - 2)^2 + (-9 - 3)^2} = \sqrt{36 + 144} = \sqrt{180} = \boxed{13.42}.$
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's plug in the given coordinates (x1, y1) = (2, 3) and (x2, y2) = (-4, -9) into the formula:
d = sqrt((-4 - 2)^2 + (-9 - 3)^2)
Simplifying,
d = sqrt((-6)^2 + (-12)^2)
= sqrt(36 + 144)
= sqrt(180)
To round the answer to the nearest hundredth, we can use a calculator or approximations:
sqrt(180) ≈ 13.42
Therefore, the distance between the points (2, 3) and (-4, -9) is approximately 13.42 units.
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's calculate the distance between (2, 3) and (-4, -9) using this formula:
distance = sqrt((-4 - 2)^2 + (-9 - 3)^2)
= sqrt((-6)^2 + (-12)^2)
= sqrt(36 + 144)
= sqrt(180)
≈ 13.42
Therefore, the distance between (2, 3) and (-4, -9) is approximately 13.42 units when rounded to the nearest hundredth.