Given:-
To Find:-
Solution:-
using Formula:-
[tex] \bigstar \: \: { \underline { \underline{ \boxed{ \sf{ Distance = \: \sqrt{(x_2 − x_1)² + (Y_2 — Y_1)²}}}}}}[/tex]
[tex] \sf \implies \: Distance = \: \sqrt{(x_2 − x_1)² + (Y_2 — Y_1) {}^{2} }[/tex]
[tex] \sf \implies \: Distance = \: \sqrt{(5 − ( - 3))² + (1 — ( - 5)) {}^{2} }[/tex]
[tex] \sf \implies \: Distance = \: \sqrt{(5 + 3)² + (1 + 5) {}^{2} }[/tex]
[tex] \sf \implies \: Distance = \: \sqrt{(8)² + (6) {}^{2} }[/tex]
[tex] \sf \implies \: Distance = \: \sqrt{ \: 64 \: + \: \: 36 \: }[/tex]
[tex] \sf \implies \: Distance = \: \sqrt{ \: 100 \: }[/tex]
[tex] \bf \implies \: Distance = \: 10 \: units[/tex]
[tex]\large{\underline{\underline{\pmb{\frak {\color {red}{Question:}}}}}}[/tex]
[tex] \sf \red{what \: is \: the \: distance \: the \: points(51) \: and ( - 3 - 5)}[/tex]
[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]
Here,
[tex]x_{1}[/tex] = 5. [tex]x_{2}[/tex] = - 3
[tex]y_{1}[/tex] = 1. [tex]y_{2 }[/tex] = - 5
We know, Distance formula
[tex] \red \dag \boxed{\sqrt{ (x_{2} - x_{1} )^{2} + (y_{2} - y_{1} )^{2} } } \red \dag[/tex]
[tex] \sqrt{( - 3 - 5 )^{2} + ( - 5 - 1)^{2} } \\ \\ \leadsto \sqrt{( - 8)^{2} + ( - 6)^{2} } \\ \\ \leadsto \sqrt{64 +36 } \\ \\ \leadsto \sqrt{100} \\ \\ \leadsto10 \: units[/tex]
Therefore, the required answer is 10 units.
I've written units because measurement is not given.
[tex] \boxed{ \frak \red{brainlysamurai}}[/tex]
