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Use the distance formula to find the distance between the points given.(9, -8), (5, - 18)

User Booji Boy
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1 Answer

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Given:

x₁ = 9, y₁ = -8

x₂ = 5, y₂ = -18

Find: the distance between two points

Solution:

To get the distance between the two points, we can use the distance formula which is:


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

Let's replace the variables in the formula with their corresponding numerical values based on the given information.


d=√((5-9)^2+(-18--8)^2)

Then, solve and simplify.


d=√((-4)^2+(-10)^2)
d=√(16+100)
d=√(116)\Rightarrow d=√(4*29)\Rightarrow d=2√(29)

Therefore, the distance between the two given points is 2√29 units or approximately 10.77 units.

User OKonyk
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