64.2k views
1 vote
Using the Distance Formula and the Pythagorean Theorem, find the distance, to the nearest tenth, from F (5,5) to G (−3,−1).

User Rob Hruska
by
7.1k points

2 Answers

6 votes

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!

User BrandonLWhite
by
6.6k points
3 votes

Answer:

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

User KentH
by
7.0k points
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