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ordinate plane - part ii find the distance, d , of ab . a=(-2,-10)b=(-6,0) d= sqrt(|x_(2)-x_(1)|^(2)+|y_(2)-y_(1)|^(2)) d=[?] distance

Question

ordinate Plane - Part II Find the distance, d , of AB . A=(-2,-10)B=(-6,0) d= sqrt(|x_(2)-x_(1)|^(2)+|y_(2)-y_(1)|^(2)) d=[?] Distance ciund to the nearest tenth. Enter

Solution

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4.5 (282 Votos)
Octávio Mestre · Tutor por 5 anos

Resposta

Explicação

The distance between two points in a plane can be found using the distance formula, which is derived from the Pythagorean theorem. The distance formula is \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points. In this case, the coordinates of points A and B are \((-2, -10)\) and \((-6, 0)\) respectively. Substituting these values into the distance formula gives \(d = \sqrt{(-6 - -2)^2 + (0 - -10)^2} = 2 \sqrt{29}\).