Question

Find the distance between the following pairs of point : (-5,7), (-1,3)​

Answer 1

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Answer 2

Step-by-step explanation:

Given,

points are (-5,3),(-1,3)

Let, A(-5,3) and (-1,3)

Now, from distance formula

$\sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \\ = \sqrt{ {( -1 + 5 )}^{2} + {(3 - 7)}^{2} } \\ \\ = \sqrt{ {4}^{2} + {( - 4)}^{2} } \\ \\ = \sqrt{16 + 16} \\ \\ = \sqrt{32} \\ \\ = 4 \sqrt{2}$

Therefore, the distance between A and B = 4√2 units