Question

find the distance between the two points. (1, -4) and (6, 8). round to the nearest tenth
select one:
o a. 13.9
o b. 6.4
o c 13
o d 8.1

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(1,-4)\) and \((x_2,y_2)=(6,8)\)

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

Substitute the values: \(d=\sqrt{(6 - 1)^2+(8-(-4))^2}\)
\(=\sqrt{5^2 + 12^2}\)
\(=\sqrt{25+144}\)
\(=\sqrt{169}\)
\(= 13\)

Answer:

C. 13