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Leto [7]
3 years ago
14

Consider the following pair of points.

Mathematics
1 answer:
dedylja [7]3 years ago
4 0

Answer:

The answer is

<h2>\sqrt{265}  \:  \: or \:  \:  16.28 \:  \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(9,-8) and (-7,-5)

The distance between them is

d =  \sqrt{ ({9 + 7})^{2}  +  ({ - 8 + 5})^{2} }  \\  =  \sqrt{ {16}^{2} + ( { - 3})^{2}  }  \\  =  \sqrt{256 + 9}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  =  \sqrt{265} \:  \:  \:  \:  \:  \:    \\  = 16.27882

We have the final answer as

\sqrt{265}  \:  \: or \:  \:  16.28 \:  \:  \:  \: units

Hope this helps you

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