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Question

Find the distance between the points $$P ( - 5 , - 4 )$$ and $$Q ( 3 , - 7 )$$ .


Solution

The two points given are $$P(-5,-4),Q(3,-7)$$
The formula for finding the distance between two points is
$$D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$$
So,
$$PQ=\sqrt{(-5-3)^2+(-4+7)^2}$$
$$PQ=\sqrt{64+9}$$
$$PQ=\sqrt{73}$$
Distance between $$P$$ and $$Q$$ is $$\sqrt{73}$$ units

Mathematics

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