## Related questions with answers

Question

Find the distance between the pair of points with the given coordinates.

$(1,-14),(-6,10)$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2Use the distance formula to solve.

$\begin{aligned} D&=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ &=\sqrt{((-6)-1)^2+((10)-(-14))^2}\rightarrow\text{substitute}\\ &=\sqrt{(-7)^2+(24)^2}\\ &=\sqrt{(49)+(576)}\\ &=\sqrt{625}\\ &=25 \end{aligned}$

Thus, $D=25$.

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