Question Number 103159 by 281981 last updated on 13/Jul/20
$$\boldsymbol{\mathrm{how}}\:\boldsymbol{\mathrm{do}}\:\boldsymbol{\mathrm{you}}\:\boldsymbol{\mathrm{represent}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{distance}}\:\boldsymbol{\mathrm{between}} \\ $$$$\boldsymbol{\mathrm{M}}\:{and}\boldsymbol{{N}}\:\mathrm{is}\:\mathrm{7} \\ $$
Commented by 9027201563 last updated on 13/Jul/20
$$\mathrm{from}\:\mathrm{the}\:\mathrm{distance}\:\mathrm{formuar} \\ $$$$\mathrm{distance}=\sqrt{\left(\mathrm{x}_{\mathrm{2}} −\mathrm{x}_{\mathrm{1}} \right)^{\mathrm{2}} +\left(\mathrm{y}_{\mathrm{2}} −\mathrm{y}_{\mathrm{1}} \right)^{\mathrm{2}} } \\ $$$$\mathrm{so} \\ $$$$\mathrm{7}=\sqrt{\left(\mathrm{M}−\mathrm{0}\right)^{\mathrm{2}} +\left(\mathrm{N}−\mathrm{0}\right)^{\mathrm{2}} } \\ $$$$\therefore\:\mathrm{7}=\sqrt{\mathrm{M}^{\mathrm{2}} +\mathrm{N}^{\mathrm{2}} } \\ $$