Question

PRECISO DE AJUDA!!

Determine as cordenadas abaixo sabendo o ponto medio A) (Xa,Ya) b (0,1) m( 3/2, 1/2) B A(2-5) B (Xb,Yb) M=(-5,6)

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{M_{AB} = \left(\dfrac{x_A + x_B}{2};\:\dfrac{y_A + y_B}{2}\right)}$

$\mathsf{\dfrac{x_A + 0}{2} = \dfrac{3}{2} \iff x_A + 0 = 3 \iff x_A = 3}$

$\mathsf{\dfrac{y_A + 1}{2} = -\dfrac{1}{2} \iff y_A + 1 = -1 \iff y_A = -2}$

$\boxed{\boxed{\mathsf{\:A(3;-2)}}}$

$\mathsf{\dfrac{-2 + x_B}{2} = -5 \iff -2 + x_B = -10 \iff x_B = -8}$

$\mathsf{\dfrac{5 + y_B}{2} = 6 \iff 5 + y_B = 12 \iff y_B = 7}$

$\boxed{\boxed{\mathsf{\:B(-8;7)}}}$