What is the distance between $(- 3, \frac{17 π}{12})$ $(-3 , (17 pi)/12 )$ and $(8, \frac{π}{4})$ $(8 , pi/4 )$ ?

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Answer 1 · 2018-02-07T17:56:37

$11.595 u n i t s$ $11.595units$

$\sqrt{{(x_{2} - x_{1})}_{2}^{2} + {(y_{2} - y_{1})}_{2}^{2}}$ $sqrt((x_2-x_1)^2+(y_2-y_1)^2)$

$:.=sqrt((-3-8)^2+((17pi)/12-pi/4)^2)$

$:.=sqrt((-11)^2+((17pi-3pi)/12)^2$

$:.=sqrt(121+((17pi-3pi)/12)^2$

$:.=sqrt(121+((cancel14^7pi)/cancel12^6)^2$

$:.=sqrt(121+((7pi)/6)^2$

$:.=sqrt(121+(7pi)/6xx(7pi)/6$

$:.=sqrt(121+21.99114858/6xx21.99114858/6$

$:.=sqrt(121+483.6106157/36$

$:.=sqrt(121+13.433628$

$:.=sqrt(134.4336282$

$:.=11.595$ units to the nearest 3 decimal places

What is the distance between (-3 , (17 pi)/12 )(−3,17π12)(-3 , (17 pi)/12 ) and (8 , pi/4 )(8,π4)(8 , pi/4 )?