Find the distance between (-1/4, -1/7) and (3/4, 6/7) pair of points. If necessa

Jerold 2021-09-19 Answered

Find the distance between \(\displaystyle{\left(-\frac{1}{{4}},-\frac{1}{{7}}\right)}\) and \(\displaystyle{\left(\frac{3}{{4}},\frac{6}{{7}}\right)}\) pair of points. If necessary, express answers in simplified radical form and then round to two decimals places.

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Talisha
Answered 2021-09-20 Author has 13222 answers
The given two points are,
\(\displaystyle{\left(-{\frac{{{1}}}{{{4}}}},-{\frac{{{1}}}{{{7}}}}\right)}\) and \(\displaystyle{\left({\frac{{{3}}}{{{4}}}},{\frac{{{6}}}{{{7}}}}\right)}\)
If two points are given as \(\displaystyle{\left({x}_{{1}},{y}_{{1}}\right)}\) and \(\displaystyle{\left({x}_{{2}},{y}_{{2}}\right)}\), then the distance between the two points is given as,
\(\displaystyle{d}=\sqrt{{{\left({x}_{{2}}-{x}_{{1}}\right)}^{{2}}+{\left({y}_{{2}}-{y}_{{1}}\right)}^{{2}}}}\)
Puting the ponts, we get
\(\displaystyle{d}=\sqrt{{{\left({\frac{{{3}}}{{{4}}}}-{\left(-{\frac{{{1}}}{{{4}}}}\right)}\right)}^{{2}}+{\left({\frac{{{6}}}{{{7}}}}-{\left(-{\frac{{{1}}}{{{7}}}}\right)}\right)}^{{2}}}}\)
\(\displaystyle=\sqrt{{{\left({\frac{{{3}+{1}}}{{{4}}}}\right)}^{{2}}+{\left({\frac{{{6}+{1}}}{{{7}}}}\right)}^{{2}}}}\)
\(\displaystyle=\sqrt{{{\left({1}\right)}^{{2}}+{\left({1}\right)}^{{2}}}}\)
\(\displaystyle=\sqrt{{{2}}}\)
\(\displaystyle={1.41}\)
Therefore, the distance between the given two points is 1.41 units.
Not exactly what you’re looking for?
Ask My Question
6
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-09-18
Find the distance between the pair of points (4, -1) and (-6, 3) . If necessary, express answers in simplified radical form and then round to two decimals places.
asked 2021-10-02
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.
asked 2021-09-09
Find the distance between (0, 0) and (-3, 4) pair of points. If necessary, express answers in simplified radical form and then round to two decimals places.
asked 2021-09-16
Find the distance between the pair of points \(\displaystyle{\left({0},\sqrt{{{2}}}\right)}\) and \(\displaystyle{\left(\sqrt{{{7}}},{0}\right)}\). If necessary, express answers in simplified radical form and then round to two decimals places.
asked 2021-09-14
Find the distance between the points (6, −1) and (-18, 6). Enter the exact value of the answer.
In case of radicals, use \(\displaystyle\sqrt{{()}}\). For example, enter \(\displaystyle{3}\sqrt{{{5}}}\) for \(\displaystyle{3}\sqrt{{{5}}}\).
asked 2021-10-01
Find the rectangular coordinates of the pair of points \(\displaystyle{\left({6},\pi\right)}\) and \(\displaystyle{\left({5},{7}\frac{\pi}{{4}}\right)}\). Then find the distance, in simplified radical form, between the points.
asked 2021-09-10
Find the distance between \(\displaystyle{\left({3}\sqrt{{3}},\sqrt{{5}}\right)}\) and \(\displaystyle{\left(-\sqrt{{3}},{4}\sqrt{{5}}\right)}\) pair of points. If necessary, express answers in simplified radical form and then round to two decimals places.
...