Question

Os pontos A(4, 1) e B(3, k) distam um do outro √26 cm. Determine no caderno o valor da ordenada K.

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Answer 1

Resposta:

k = -4 ou k =6

Explicação passo a passo:

$d^2=(xB-x_A)\² +(y_B-y_A)^2\\\\(\sqrt{26})^2=(3-4)^2+(k-1)^2\\\\26=(-1)^2+(k-1)^2\\\\26 = 1 +(k-1)^2\\\\(k-1)^2=25\\\\k-1=-5\\\\k=-5+1\\\\k=-4\\ou\\k-1=5\\\\k=6$