Question

Se (2,3) é um ponto médio de AB COM A (n,5) e B (4,m) quanto vale m+n?​

Answer 1

Olá !

Subdividiremos em partes , uma parte para calcular o [m] , outra para calcular o [n] e por fim calcularmos [m + n]

Obtendo o valor de [m]...

$\mathsf{Y_{M}=\dfrac{Y_{A}+Y_{B}}{2}} \\\\\\ \mathsf{3=\dfrac{5+m}{2}} \\\\\\ \mathsf{5+m=2\times3} \\\\\\ \mathsf{5+m=6} \\\\\\ \mathsf{m=6-5} \\\\\\ \mathsf{m=1}$

Obtendo o valor de [n]...

$\mathsf{X_{M}=\dfrac{X_{A}+X_{B}}{2}} \\\\\\ \mathsf{2=\dfrac{n+4}{2}} \\\\\\ \mathsf{n+4=2\times2} \\\\\\ \mathsf{n+4=4} \\\\\\ \mathsf{n=4-4} \\\\\\ \mathsf{n=0}$

Somando [m] com [n]...

$\mathsf{[m+n]\rightarrow[1+0]=\boxed{\boxed{1}}}$

Sendo , [m] mais [n] vale 1 .

Espero que esta resposta lhe sirva !