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

3 answers

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

\[d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\]

Plugging in the values from the given points, we have:

\[d = \sqrt{((-4) - 2)^2 + ((-9) - 3)^2} = \sqrt{(-6)^2 + (-12)^2} = \sqrt{36 + 144} = \sqrt{180}\]

Rounding to the nearest hundredth, we have:

\[d \approx \sqrt{180} \approx 13.42\]
no
I apologize for the mistake. Let me redo the calculation correctly:

To find the distance between two points (2, 3) and (-4, -9), we can use the distance formula:

\[d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\]

Plugging in the values from the given points, we have:

\[d = \sqrt{((-4) - 2)^2 + ((-9) - 3)^2} = \sqrt{(-6)^2 + (-12)^2} = \sqrt{36 + 144} = \sqrt{180}\]

Rounded to the nearest hundredth, the distance between the two points is approximately 13.42.