Mathematics: Calculate the distance between the points J=(-3, -2) and G=(3, 1) in the coordinate plane. Give an exact answer (not a decimal approximation).

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Calculate the distance between the points J=(-3, -2)

Ответ:

chloeethoma24

17.10.2021

Mathematics

$3\sqrt{5}$

Step-by-step explanation:

We remember the distance formula: Given two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ , the distance between them is $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$ .

So, we plug in for our two points to get that the distance between them is $\sqrt{(3-(-3))^2+(1-(-2))^2}=\sqrt{6^2+3^2}=\sqrt{36+9}=\sqrt{45}=\sqrt{9\cdot 5}=\sqrt{3^2\cdot 5}=\sqrt{3^2}\cdot \sqrt{5}=\boxed{3\sqrt{5}}$

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Calculate the distance between the points J=(-3, -2) and G=(3, 1) in the coordinate plane. Give an exact answer (not a decimal approximation).

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