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Inessa05 [86]
3 years ago
11

Find the distance between the two points in simplest radical form. (1,0) and (-8,3)

Mathematics
1 answer:
SVEN [57.7K]3 years ago
7 0

Answer:

<h2>         3√10</h2>

Step-by-step explanation:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(1,0)\quad\implies\quad x_1=1\,,\ \ y_1=0\\\\(-8,3)\quad\implies\quad x_2=-8\,,\ \ y_2=3\\\\d=\sqrt{(-8-1)^2+(3-0)^2}= \sqrt{(-9)^2+3^2}=\sqrt{81+9}\\\\d=\sqrt{90}=\sqrt{9\cdot10}=\sqrt9\cdot\sqrt{10}=3\sqrt{10}\approx9.49

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