Question

Find the distance between the two points.

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Answer 1

`\mathrm{Distance\:between\:}\left(-2,\:3\right)\mathrm{\:and\:}\left(2,\:4\right)=√(17)`

Explanation:

Given the points

• (-2, 3)

• (2, 4)

Finding the distance between the points (-2, 3) and (2, 4) is

`\mathrm{The\:distance\:between\:}\left(-2,\:3\right)\mathrm{\:and\:}\left(2,\:4\right)\mathrm{\:is\:}`

`=√(\left(2-\left(-2\right)\right)^2+\left(4-3\right)^2)`

`=√(\left(2+2\right)^2+\left(4-3\right)^2)`

`=√(4^2+1)`

`=√(16+1)`

`=√(17)`

Therefore, the distance between the points (-2, 3) and (2, 4):

`\mathrm{Distance\:between\:}\left(-2,\:3\right)\mathrm{\:and\:}\left(2,\:4\right)=√(17)`