Question

find the distance between (3,0) and (-5,0)​

Answer 1

$\red{ \boxed{\boxed{\begin{array}{cc} \leadsto \bf \: Given \:: \\ \bf \to two \: points \: are \: \: (3,0) \: \: and \: ( -5,0) \\ \\ \sf \to \: we \: have \: to \: find \: distance(d) \: between \: them\end{array}}}}$

$\pink{ \boxed{\boxed{\begin{array}{cc} \underline{ \sf \downarrow \: Formula \downarrow} \\ \\ \rm \to \: if \: (x_1,y_1) \: \: and \: \: (x_2,y_2) \: are \: two \: points \: \\ \\ \rm \: then \: distance \: between \: them \: : \\ \\ \blue{ \boxed{\bf \: d = \sqrt{ {(x_1 - x_2)}^{2} + {(y_1 - y_2)}^{2} }}} \\ \\ \end{array}}}}$

According to the question,

$\bf \: x_ 1 = 3 \\ \bf \: x_2 = -5 \\ \bf \: y_1 = 0\\ \bf \: y_ 2= 0$

$\text{So \: distance \: between \: them \: :} \\ \\ \orange{ \boxed{\boxed{\begin{array}{cc} \\ \bf \: d = \sqrt{ { \{3- ( - 5)} \}^{2} + {(0-0)}^{2} } \\ \\ = \sqrt{ {(3 + 5)}^{2} + 0 } \\ \\ = \sqrt{ {8}^{2} } \\ \\ = 8 \sf \: unit \end{array}}}}$