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erastova [34]
3 years ago
12

What is the distance between the building B (4, 6) and the station K (–6, –2)? Use a calculator to round to the nearest tenth.

Mathematics
1 answer:
Svetllana [295]3 years ago
5 0

Answer:

The answer is

<h2>12.8 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

B (4, 6) and K (–6, –2)

The distance is

|BK|  =  \sqrt{ ({4 + 6})^{2}  +  ({6 + 2})^{2} }  \\  =  \sqrt{ {10}^{2} +  {8}^{2}  }  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  =  \sqrt{100 + 64}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  =  \sqrt{164}  \\  = 2 \sqrt{41}  \\  = 12.80

We have the final answer as

<h3>12.8 to the nearest tenth</h3>

Hope this helps you

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This option is incorrect!

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