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Find the distance between the points (2,–4.8) and (8,–4.8).

Question

Find the distance between the points (2,–4.8) and (8,–4.8).

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Solution

Para encontrar la distancia entre los puntos (2, -4.8) y (8, -4.8), podemos usar la fórmula de la distancia entre dos puntos en un plano cartesiano. La fórmula es:

d=(x2x1)2+(y2y1)2 d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Donde (x1,y1)(x_1, y_1) y (x2,y2)(x_2, y_2) son las coordenadas de los dos puntos.

En este caso, los puntos son (2,4.8)(2, -4.8) y (8,4.8)(8, -4.8). Sustituyendo estos valores en la fórmula, tenemos:

d=(82)2+(4.8(4.8))2 d = \sqrt{(8 - 2)^2 + (-4.8 - (-4.8))^2}

Simplificamos dentro de la raíz:

d=(6)2+(0)2 d = \sqrt{(6)^2 + (0)^2}

d=36+0 d = \sqrt{36 + 0}

d=36 d = \sqrt{36}

d=6 d = 6

Por lo tanto, la distancia entre los puntos (2, -4.8) y (8, -4.8) es 6 unidades.

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