Question

the distance between the point P[-(11/3),5] and Q[-(2/3),5]is​

Answer 1

SOLUTION

TO DETERMINE

The distance between the point

$\displaystyle \sf{ \bigg( - \frac{11}{3} \: , 5 \bigg) \: \: and \: \: \bigg( - \frac{2}{3} \: , 5 \bigg)}$

FORMULA TO BE IMPLEMENTED

If two two points

$\sf{(x_1,y_1) \: \: and \: \: (x_2,y_2) \: are \: given}$

Then the distance between them

$= \sf{ \sqrt{ {(x_1 - x_2)}^{2} + {(y_1 - y_2)}^{2} } }$

EVALUATION

Here the two given points are

$\displaystyle \sf{ \bigg( - \frac{11}{3} \: , 5 \bigg) \: \: and \: \: \bigg( - \frac{2}{3} \: , 5 \bigg)}$

So the required distance is

$\displaystyle \sf{ = \sqrt{ {\bigg( - \frac{11}{3} + \frac{2}{3} \bigg)}^{2} + {(5 - 5)}^{2} } }$

$\displaystyle \sf{ = \sqrt{ {\bigg( - \frac{9}{3} \bigg)}^{2} + {(0)}^{2} } }$

$\displaystyle \sf{ = \sqrt{ {3}^{2} } }$

$\sf{ = 3 \: \: unit}$

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Answer 2

Answer:

the distance between the point P[-(11/3),5] and Q[-(2/3),5]is 3 units...