Question

Find AB if A(-1,7) and B (11, -1). Round your answer to the nearest tenth.

Answer 1

Answer:

The answer is 14.4 units

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} }$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(-1,7) and B (11, -1)

The distance between them is

$|AB| = \sqrt{( { - 1 - 11})^{2} + ( {7 + 1})^{2} } \\ = \sqrt{ ({ - 12})^{2} + {8}^{2} } \\ = \sqrt{144 + 64} \: \: \: \: \: \: \: \\ = \sqrt{208} \\ = 4\sqrt{13} \\ =14.42220510...$

We have the final answer as

14.4 units to the nearest tenth

Hope this helps you