Question

Calcule, em cada caso, dois pontos. a) A(3,4) e B (5, -14) ​

Answer 1

Resposta:

a) A (3; 4) e B (-1; -6)

b) A (-3; 4) e B (-5; -10)

A)

\begin{gathered}dab= \sqrt{ (x_{2} } {} - x_{1})^{2}+(y_{2} -y_{1} )^{2} \\dab= \sqrt{ (-1-3)^{2} +(-6-4)^{2}\end{gathered}

\begin{gathered}dab= \sqrt{ (-4)^{2} +(-10)^{2} \\\end{gathered}

\begin{gathered}dab= \sqrt{ 16+100\\\end{gathered}

dab= \sqrt{ 116 (fatora)

dab= 2\sqrt{29}dab=2

29

B)

\begin{gathered}dab= \sqrt{( x_{2} -x_{1}) ^{2} + (y_{2} -y_{1} )^{2} \\\end{gathered}

dab= \sqrt{ (-5-(-3))^{2} +(-10-4)^{2}

dab= \sqrt{ (-2)^{2} +(-14)^{2}

dab= \sqrt{ 4+144

dab= \sqrt{148 (fatora)

dab= 2\sqrt{37}dab=2

37

Espero ter ajudado.