Question

Using the Distance Formula and the Pythagorean Theorem, find the distance, to the nearest tenth, from F (5,5) to G (−3,−1).

Answer 1

Distance formula: d = √(x2-x1)²+(y2-y1)²

= √(x2-x1)²+(y2-y1)²

= √(-3-5)²+(-1-5)²

= √-8²+(-6)²

= √64+36

= √100

= 10

Best of Luck!

Answer 2

The answer is 10 units

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

F (5,5) , G (−3,−1)

The distance between them is

`|FG| = \sqrt{( {5 + 3})^(2) + ({5 + 1})^(2) } \\ = \sqrt{ {8}^(2) + {6}^(2) } \\ = √(64 + 36) \\ = √(100) \: \: \: \: \: \: \: \: \\ = 10 \: \: \: \: \: \: \: \: \: \: \: \: \: \:`

We have the final answer as

10 units

Hope this helps you