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Y_Kistochka [10]
3 years ago
14

Find the distance between the points (4,-9) and (-6,-10)

Mathematics
1 answer:
dolphi86 [110]3 years ago
7 0

Answer:

The answer is

<h2>\sqrt{101}  \:  \:  \: or \:  \:  \: 10.05 \:  \:  \:  \: 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

(4,-9) and (-6,-10)

The distance between them is

d =  \sqrt{ ({4 + 6})^{2}  + ( { - 9 + 10})^{2} }  \\  =  \sqrt{ {10}^{2} +  {1}^{2}  }  \\  =  \sqrt{100 + 1}  \:  \:  \\  =  \sqrt{101}  \:  \:  \:  \:  \:  \:  \:  \:  \:   \\  = 10.04987...

We have the final answer as

\sqrt{101}  \:  \:  \: or \:  \:  \: 10.05 \:  \:  \:  \: units

Hope this helps you

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