Question

Find the distance between (2,3) and (-4,-9). Round your answer to the nearest hundredth if necessary.

Answer 1

To find the distance between two points, we can use the distance formula.

The distance formula is given by $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$.

Using the given points $(2,3)$ and $(-4,-9)$, we can substitute the values into the distance formula:

$\sqrt{((-4)-(2))^2 + ((-9)-(3))^2}$

This simplifies to:

$\sqrt{((-6))^2 + ((-12))^2} = \sqrt{36 + 144}$

Evaluating the square root, we find:

$\sqrt{180}\approx 13.416$.

Rounded to the nearest hundredth, the distance between the two points is $\boxed{13.42}$.