Question

i can apply the pythagorean theorem to find distance on a coordinate plane.
#22. how many units is it from point b to point c?
the distance between point b and c is units. (round to the nearest tenth)

Explanation:

Step1: Identify coordinates

Let \(B(3,1)\) and \(C(- 2,-8)\).

Step2: Use distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

Here \(x_1 = 3,y_1 = 1,x_2=-2,y_2 = - 8\). Then \(d=\sqrt{(-2 - 3)^2+(-8 - 1)^2}\).

Step3: Calculate values inside square - root

\((-2 - 3)^2=(-5)^2 = 25\) and \((-8 - 1)^2=(-9)^2 = 81\). So \(d=\sqrt{25 + 81}=\sqrt{106}\).

Step4: Round to nearest tenth

\(\sqrt{106}\approx10.3\).

Answer:

10.3