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find the distance between the two points. round your answer to the near…

Question

find the distance between the two points. round your answer to the nearest tenth. (4, 0) and (-4, 5) 7.5 9.4 8.6 15.2

Explanation:

Step1: Identificar las coordenadas

Sean $(x_1,y_1)=(4,0)$ y $(x_2,y_2)=(-4,5)$.

Step2: Aplicar la fórmula de distancia

La fórmula de distancia entre dos puntos $(x_1,y_1)$ y $(x_2,y_2)$ es $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Sustituimos los valores: $d=\sqrt{(-4 - 4)^2+(5 - 0)^2}=\sqrt{(-8)^2+5^2}=\sqrt{64 + 25}=\sqrt{89}$.

Step3: Redondear el resultado

$\sqrt{89}\approx9.4$.

Answer:

9.4