Find the distance between the pair of points. Round to the nearest thousandth.
-$\left( \frac { 1 } { 2 } , \frac { 1 } { 7 } \right)$ and $\left( \frac { 3 } { 4 } , \frac { 8 } { 7 } \right)$
A) $0.250$
B) 4
C) $1.031$
D) $0.970$

Question

Quizplus · Accepted Answer

The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. Substituting the given points, we get $\sqrt{(\frac{3}{4} - \frac{1}{2})^2 + (\frac{8}{7} - \frac{1}{7})^2} = \sqrt{(\frac{1}{4})^2 + (\frac{7}{7})^2} = \sqrt{\frac{1}{16} + 1} = \sqrt{\frac{1}{16} + \frac{16}{16}} = \sqrt{\frac{17}{16}} = \frac{\sqrt{17}}{4} \approx 1.031$.

Find the Distance Between the Pair of Points (12,17)\left( \frac { 1 } { 2 } , \frac { 1 } { 7 } \right)(21​,71​)

Find the Distance Between the Pair of Points $\left( \frac { 1 } { 2 } , \frac { 1 } { 7 } \right)$