Answered

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Calculate the distance between the points G=(-2,-6) and N=(-9, 2) in the coordinate plane.Give an exact answer (not a decimal approximation).

Calculate The Distance Between The Points G26 And N9 2 In The Coordinate PlaneGive An Exact Answer Not A Decimal Approximation class=

Sagot :

To find the diatance between two points you use the next formula:

[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For the given two points:

[tex]\begin{gathered} d=\sqrt[]{(-9-(-2))^2+(2-(-6))^2} \\ \\ d=\sqrt[]{(-7)^2+8^2} \\ \\ d=\sqrt[]{49+64} \\ \\ d=\sqrt[]{113} \end{gathered}[/tex]

Then, the distance between points G and N is the square root of 113

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