Question

find the distance between the points (-4, -6) and (9, 9).
round decimals to the nearest tenth.

Explanation:

Step1: Identify the formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).

Step2: Substitute the values

Here \(x_1=-4,y_1 = -6,x_2=9,y_2=9\).
\(d=\sqrt{(9-(-4))^2+(9 - (-6))^2}=\sqrt{(9 + 4)^2+(9+6)^2}\).

Step3: Calculate the squares

\((9 + 4)^2=13^2 = 169\) and \((9+6)^2=15^2=225\).
\(d=\sqrt{169 + 225}\).

Step4: Sum and find the square - root

\(169+225 = 394\).
\(d=\sqrt{394}\approx19.8\).

Answer:

\(19.8\)