26,656 views
22 votes
22 votes
Find the distance between the points (-5,4) and (-35,-12).

User SuuSoJeat
by
2.6k points

1 Answer

14 votes
14 votes

The distance between the two points is 34 units

Here, we want to find the distance between the two given points

To do this, we are going to use the distance formula

Mathematically, we have this as;


\begin{gathered} D\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ (x_1,y_1)\text{ = (-5,4)} \\ (x_2,y_2)\text{ = (-35,-12)} \\ D\text{ = }\sqrt[]{(-35-(-5))^2+(-12-4)^2} \\ D\text{ = }\sqrt[]{-30^2+(-16)^2} \\ D\text{ = }\sqrt[]{900+256} \\ D\text{ = }\sqrt[]{1156} \\ D\text{ = 34} \end{gathered}

User Abelisto
by
2.9k points
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