Question

Find the distance between (1, -2) and (-4, 3).

5.83

3.16

7.07

5

Answer 1

{1-(-4)}^2+(-2-3)^2
=1+4^2+-5^2
=25+25
=50

Answer 2

Using Distance Formula,

Distance = $\sqrt{( x_{2} - x_{1} )^2 + ( y_{2} - y_{1})^2 }$

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Distance = $\sqrt{(-4 - 1)^2 + (3 - (-2))}$

                = $\sqrt{(-5)^2 + (3 + 2)^2}$  

                = $\sqrt{(-5)^2 + (5)^2}$

                = $\sqrt{25 + 25}$

                = $\sqrt{50}$

Distance = 5√2  units





i hope this will help you


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