Question

Find the distance between:(5,6) and (-4,-10)Round your answer to the nearest hundredth.

Answer 1

We are asked to find the distance between two given points

The given points are

$(x_1,y_1)=\left(5,6\right)$$(x_2,y_2)=\left(-4,-10\right)$

Recall that the distance between two points is given by

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

Now we will substitute the given points into the above formula of distance

$\begin{gathered} d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ d=\sqrt{(-4-5)^2+(-10-6)^2} \\ d=\sqrt{(-9)^2+(-16)^2} \\ d=\sqrt{81+256} \\ d=\sqrt{337} \\ d=18.357 \end{gathered}$

But the question says to round off the answer to the nearest hundreth so,

$d=18.36$

Therefore, the distance between points (5,6) and (-4,-10) is found to be 18.36