Question

A (1,7)
B(8,-5)

distance formula

Answer 1

The distance betweem the two points is about 14

Explanation:

The distance formula is
`d=\sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}`

According to the problem:
`x_(2)=8`,
`x_(1) =1`,
`y_(2) =-5`, and
`y_(1) =7`

Substitute these numbers into the problem to get
`d=\sqrt{(8-1)^(2)+(-5-7)^(2)}`

`(8-1)^2=(7)^2=49`

`(-5-7)^2=(-12)^2=144`

`√(49+144)=√(193) =13.8923349894`

You can round this number to approximately 14.