Question

Find the distance between (-10,12) and (-6,-14). Round to the nearest hundredth

Answer 1

26.31 units

Explanation:

Given: Points
`(-10,12),(-6,-14)`

To find: Distance between the given points

Solution:

Let
`(x_1,y_1)=(-10,12)\,,\,(x_2,y_2)=(-6,-14)`

The distance formula is used to find the distance between two points
`(x_1,y_1),(x_2,y_2)`

According to distance formula,

Distance =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

`√((-6+10)^2+(-14-12)^2)\\ =√(16+676)\\ =√(692)\\ =26.31`

So, distance between the given points is 26.31 units