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=√((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=√((x_2-x_1)^2+(y_2-y_1)^2) \\ d=√((-4-5)^2+(-10-6)^2) \\ d=√((-9)^2+(-16)^2) \\ d=√(81+256) \\ d=√(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