Question

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

Answer 1

$Let \: A(x_{1} , y_{1}) = (3,2) \: and$

$B(x_{2} , y_{2}) = (-1,-4)$

/* By Distance Formula */

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

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

$= \sqrt{ (-4)^{2} + (-6)^{2} }$

$= \sqrt{ 16 + 36 }$

$= \sqrt{ 52 }$

$= \sqrt{ 4 \times 13 }$

$= 2\sqrt{ 13 }$

Therefore.,

$\red{ Distance } \green { = 2\sqrt{ 13 }}$

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Answer 2

$<marquee behavior-move><font color="maroon"><h1> hy good morning✌✌</ ht></marquee>$