Question

find the distance between through the origen (-6, 8)​

Answer 1

the distance between thought the origin is 18

Answer 2

To find :

• The distance between the origin $\sf{\pmb{(0,~0)}}$ and $\sf{\pmb{(-6,~8)}}$

Solution :

• Distance formula for a point on origin :
• $\sf \underline{ \boxed{ \sf{ \pmb{ \sqrt{x^{2} + y^{2} } }}}}$

Given :

• x = –6
• y = 8

$\sf\implies{{\sqrt{x^{2}+y^{2}}}}$

$\sf\implies{{\sqrt{(-6)^{2}+(8)^{2}}}}$

$\sf\implies{{\sqrt{36+64}}}$

$\sf\implies{{\sqrt{100}}}$

$\sf{~~~~~{\blue{ \bigstar {\underline{\boxed{\sf{\pmb{10~units}}}}}}}}$

∴ Required answer :

• Distance = $\sf{{\blue{\underline{\underline{\sf{\pmb{10~units}}}}}}}$