Question

find the distance between each pair of points. round your answer to the nearest tenth, necessary.

1. (3, 3), (8, -7)

a) 11.2 b) 3.9
c) 11.7 d) 10.2

Explanation:

Step1: Recall distance formula

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

Step2: Identify coordinates

Here, \(x_1 = 3\), \(y_1 = 3\), \(x_2 = 8\), \(y_2 = -7\).

Step3: Substitute into formula

Calculate \(x_2 - x_1 = 8 - 3 = 5\) and \(y_2 - y_1 = -7 - 3 = -10\).
Then, \(d = \sqrt{(5)^2 + (-10)^2} = \sqrt{25 + 100} = \sqrt{125}\).

Step4: Simplify and round

\(\sqrt{125} \approx 11.2\) (rounded to the nearest tenth).

Answer:

A) 11.2