Find the distance between the points $(- 9, - 4)$ and $(- 4, 8)$ .
Round decimals to the nearest tenth.
units

Answer

Expert–verified

Hide Steps

Answer

3. Calculate the distance: $d = \sqrt{5^{2} + 12^{2}} = \sqrt{25 + 144} = \sqrt{169} = 13$

Steps

Step 1 ：1. Find the differences in x-coordinates and y-coordinates: $Δ x = - 4 - (- 9) = 5$ , $Δ y = 8 - (- 4) = 12$

Step 2 ：2. Apply the distance formula: $d = \sqrt{(Δ x)^{2} + (Δ y)^{2}}$

Step 3 ：3. Calculate the distance: $d = \sqrt{5^{2} + 12^{2}} = \sqrt{25 + 144} = \sqrt{169} = 13$