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Use the distance formula to find the distance, to the nearest tenth, from S(7, −1) to V(−1, 3).
A.2.5 units
B.0.0 units
C.8.9 units
D.−4.0 units

Sagot :

Answer:  8.9 units (choice C)

Explanation:

We plug [tex](x_1,y_1) = (7,-1) \text{ and } (x_2,y_2) = (-1,3)\\\\[/tex] into the distance formula to get the following

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(7-(-1))^2 + (-1-3)^2}\\\\d = \sqrt{(7+1)^2 + (-1-3)^2}\\\\d = \sqrt{(8)^2 + (-4)^2}\\\\d = \sqrt{64 + 16}\\\\d = \sqrt{80}\\\\d \approx 8.94427\\\\d \approx 8.9\\\\[/tex]

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