Question

Find the distance of the points (-3,-5) and (11,7) then find the coordinates of 7/10 of the distance

Answer 1

D= 2
`√(85)`

P=
`(7)/(5)`
`√(85)`

Explanation:

Distances between two points=
`\sqrt{(x_(2) - x_(1))^(2) + (y_(2) - y_(1))^2}`

Let the (-3,-5) be the first points, and

(11,7) be the second points.

Insert both values into the equation

D=
`√((11 - (-3))^2 + (7 - (-5))^2)`

=
`√(14^2 + 12^2)` =>
`√(196 + 144)`

=
`√(340)` => 2
`√(85)`

The Point for 7/10 distance is:

P= 2
`√(85)` x 7/10

=
`(7)/(5)`
`√(85)`