Question

Find the distance between the points R(-3,a),S(a,-2a)​

Answer 1

Answer: 5units.

$distance \: between \: points = \sqrt{( { x_{2} - x_{1} )}^{2} + {( y_{2} - y_{1} )}^{2} } \\ = \sqrt{ {(a - ( - 3a)})^{2} + {( - 2a - a)}^{2} } \\ = \sqrt{ {(4a)}^{2} + {( - 3a)}^{2} } \\ = \sqrt{16 {a}^{2} + 9 {a}^{2} } \\ = \sqrt{25 {a}^{2} } \\ = 5a$

Answer 2

Step-by-step explanation:

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