Question

What is the distance between the points located at (5, 1) and (10, 11) ?

Answer 1

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$\sf \red{What \: is \: the \: distance \: between \: the \: points \: located \: at \: (5, 1) \: and \: (10, 11) ?}$

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Let, the points be A(5,1) and B(10,11) on the number line.

Here,

$x_{1}$ = 5. $x_{2}$ = 10

$y_{1}$ = 1. $y_{2}$ = 11

We,know that to find distance between two points, the formula is:

$\sqrt{( {x}_{2} - {x}_{1})^{2} + ( {y}_{2} - {y}_{1} )^{2} } \\ \\ = \sqrt{(10 - 5) ^{2} + (11 - 1)^{2} } \\ \\ = \sqrt{ ({5)}^{2} + ( {10})^{2} } \\ \\ = \sqrt{25 + 100} \\ \\ = \sqrt{125} \\ \\ = 11.18$

Therefore, the distance between the two points (A) and (B) is 11.18

$\boxed{ \frak \red{Hope \: it \: helps \: you}}$