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10) Find the distance between (2, 3) and (-3, -2) A) 2 B) 5 C) 50 = 5 2 D) 25

1 Answer

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Answer:

The answer is


5 √(2) \: \: \: \: 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

(2, 3) and (-3, -2)

The distance between them is


d = \sqrt{( {2 + 3})^(2) + ({3 + 2})^(2) } \\ = \sqrt{ {5}^(2) + {5}^(2) } \\ = √(25 + 25) \\ = √(50) \\ = 5 √(2)

We have the final answer as


5 √(2) \: \: \: \: units

Hope this helps you

User Sleepster
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