Question

Given the round points below, find their distance. Round to the nearest hundredth. S(-3,10) and T(-2,3)

Answer 1

Solving for the Distance between two Points

Answer:

• 
  `7.07`

Explanation:

Given:

`S = (-3,10)`

`T = (-2,3)`

Recall:

If you have the two points,
`(a,b)` and
`(h,k)`, the distance between them,
`d`, can be calculated as
`√((a -h)^2 +(b -k)^2)`.

`ST = √((-3 -(-2))^2 +(10 -3)^2) \\ ST = √((-3 +2)^2 +(10 -3)^2) \\ ST = √((-1)^2 +(7)^2) \\ ST = √(1 +49) \\ ST = √(50) \\ ST \approx 7.07`