Question

find the distance between the points (-9, 10) and (-8, -6). round your answer to the nearest tenth.

Explanation:

Step1: Recall the distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here, \(x_1=-9,y_1 = 10,x_2=-8,y_2=-6\).

Step2: Substitute the values into the formula

First, find \(x_2 - x_1\) and \(y_2 - y_1\):
\(x_2 - x_1=-8-(-9)=-8 + 9=1\)
\(y_2 - y_1=-6 - 10=-16\)
Then, \(d=\sqrt{(1)^2+(-16)^2}=\sqrt{1 + 256}=\sqrt{257}\)

Step3: Calculate the square - root and round

\(\sqrt{257}\approx16.0\) (rounded to the nearest tenth)

Answer:

\(16.0\)