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Finger [1]
3 years ago
14

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

Mathematics
2 answers:
Katarina [22]3 years ago
5 0

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!

kvasek [131]3 years ago
3 0

Answer:

<h2>The answer is 10 units</h2>

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

F (5,5) , G (−3,−1)

The distance between them is

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

We have the final answer as

<h3>10 units</h3>

Hope this helps you

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