Find the distance between the pair of points (3.5, 8.2) and (-0.5, 6.2). If nece

remolatg 2021-10-02 Answered
Find the distance between the pair of points (3.5, 8.2) and (-0.5, 6.2). If necessary, express answers in simplified radical form and then round to two decimals places.

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Expert Answer

comentezq
Answered 2021-10-03 Author has 10515 answers
Given points are (3.5, 8.2) and(-0.5, 6.2).
The expression for the distance between the two points is given by
\(\displaystyle{d}=\sqrt{{{\left({x}_{{2}}-{x}_{{1}}\right)}^{{2}}+{\left({y}_{{2}}-{y}_{{1}}\right)}^{{2}}}}\)
Here, \(\displaystyle{x}_{{1}}={3.5},{y}_{{1}}={3.5},{x}_{{2}}=-{0.5}\) and \(\displaystyle{y}_{{2}}={6.2}\)
Substitute these values in above formula of distance.
\(\displaystyle{d}=\sqrt{{{\left(-{0.5}-{3.5}\right)}^{{2}}+{\left({3.5}-{8.2}\right)}^{{2}}}}\)
\(\displaystyle{d}=\sqrt{{{\left(-{4}\right)}^{{2}}+{\left(-{2}\right)}^{{2}}}}\)
\(\displaystyle{d}=\sqrt{{{16}+{4}}}\)
\(\displaystyle{d}=\sqrt{{{20}}}\)
\(\displaystyle{d}={2}\sqrt{{{5}}}\)
\(\displaystyle{d}={4.47}\)
Therefore, the distance between the pair of points (3.5, 8.2) and (-0.5, 6.2) is 4.47
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