Question

Find the distance between the two points

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Answer 1

`\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}`

Let's use distance formula ~

`\qquad \sf  \dashrightarrow \: d = \sqrt{(x2 - x1) {}^(2) + (y2 - y1) {}^(2) }`

`\qquad \sf  \dashrightarrow \: d = \sqrt{(2 - ( - 4)) {}^(2) + (0 - 1) {}^(2) }`

`\qquad \sf  \dashrightarrow \: d = \sqrt{(2 + 4) {}^(2) + ( - 1) {}^(2) }`

`\qquad \sf  \dashrightarrow \: d = \sqrt{ {}^{} 36+ 1{}^{} }`

`\qquad \sf  \dashrightarrow \: d = \sqrt{ {}^{} 37{}^{} }`

Therefore, the required distance is
`\sf √(37)` units