## Related questions with answers

Question

Determine the distance between the two points of the given pair. (6,0),(-6,5)

Solution

VerifiedStep 1

1 of 2$\begin{align*} d&=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}&&\text{Distance Formula.}\\ &=\sqrt{(-6-6)^2+(5-0)^2}&&\text{Substitute $(x\_1,y\_1)=(6,0)$ and $(x\_2,y\_2)=(-6,5)$.}\\ &=\sqrt{(-12)^2+5^2}&&\text{Subtract.}\\ &=\sqrt{144+25}&&\text{Evaluate the powers.}\\ &=\sqrt{169}&&\text{Add.}\\ &=13&&\text{Simplify.} \end{align*}$

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