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Blizzard [7]
3 years ago
7

Find the distance between the points: (-5, 7) and (4, -2)

Mathematics
1 answer:
bonufazy [111]3 years ago
7 0

Answer:

d = 9√2

Step-by-step explanation:

d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\d=\sqrt{\left(4-\left(-5\right)\right)^2+\left(-2-7\right)^2}\\\\d=\sqrt{\left(4+5\right)^2+\left(-2-7\right)^2}\\\\d=\sqrt{9^2+9^2}\\\\\mathrm{Add\:similar\:elements:}\:9^2+9^2=9^2\times\:2\\\\=\sqrt{9^2\times\:2}\\\\=\sqrt{2}\sqrt{9^2}\\\\=9\sqrt{2}

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