Question

Obtenha o valor de m sabendo que a distancia entre os pontos A(1,-2) e B(m,-2) seja igual a 5

Answer 1

Resposta:

Explicação passo-a-passo:

$d_A_B = \sqrt{(x_b - x_a)^{2} +(y_b - y_a)^{2}} \\\\5 = \sqrt{(m-1 )^{2} +(-2-(-2))^{2}}\\\\5 = \sqrt{m^{2} -2m+1+0}} \\\\5^{2} = ( \sqrt{m^{2} -2m+1)^ }})^2\\\\25 = m^{2} -2m+1\\\\m^{2} -2m-24 = 0\\\\x_1 + x_2 = -\frac{b}{a} = -\frac{-2}{1} = 2\\x_1 . x_2 = \frac{c}{a}  = \frac{-24}{1} = -24\\ \\x_1 = -4\\x_2 = 6\\\\m = -4 \\e\\m = 6$