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Find the distance between the points (–5.1,10) and (–5.1,2.6). unitsSubmit

Question

Find the distance between the points (–5.1,10) and (–5.1,2.6). unitsSubmit

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Solution

Para encontrar la distancia entre los puntos (–5.1, 10) y (–5.1, 2.6), 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}

Dado que los puntos tienen la misma coordenada x (–5.1), la fórmula se simplifica a:

d=(0)2+(y2y1)2 d = \sqrt{(0)^2 + (y_2 - y_1)^2} d=(y2y1)2 d = \sqrt{(y_2 - y_1)^2} d=y2y1 d = |y_2 - y_1|

Sustituyendo los valores de y:

d=2.610 d = |2.6 - 10| d=7.4 d = |-7.4| d=7.4 d = 7.4

Por lo tanto, la distancia entre los puntos (–5.1, 10) y (–5.1, 2.6) es 7.4 unidades.

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