Question

Find the distance UV between the points U (7,-4) and V(-3,-6). Round your answers to the nearest tenth,if necessary

Answer 1

Answer:

The answer is 10.2 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

U (7,-4) and V(-3,-6)

The distance between them is

$|UV| = \sqrt{( {7 + 3})^{2} + ( { - 4 + 6})^{2} } \\ = \sqrt{ {10}^{2} + {2}^{2} } \\ = \sqrt{100 + 4} \: \\ = \sqrt{104} \: \: \: \: \: \: \: \: \\ = 2 \sqrt{26} \: \: \: \: \: \: \: \: \\ = 10.1980...$

We have the final answer as

10.2 units to the nearest tenth

Hope this helps you