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schepotkina [342]
3 years ago
8

Calculate the distance between points (-8,-2) and (4,3)

Mathematics
1 answer:
Kamila [148]3 years ago
5 0

To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:


\mathsf{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}


"d" represents the distance and coordinates are expressed as follows: (x, y)


Let's go to the calculations.


\mathsf{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}\\\\ \mathsf{d=\sqrt{(4-(-8))^2+(3-(-2))^2}}\\\\ \mathsf{d=\sqrt{(4+8)^2+(3+2)^2}}\\\\ \mathsf{d=\sqrt{(12)^2+(5)^2}}\\\\ \mathsf{d=\sqrt{144+25}}\\\\ \mathsf{d=\sqrt{169}}\\\\ \underline{\mathsf{d=13}}


The answer is 13 uc.

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