Question

Which points are exactly 10 units from the point (–8, –2)? Check ALL that apply.

(2, –2)

(–3, –2)

(–8, 10)

(8, 12)

(–2, –2)

(2, 8)

(–10, –2)

(–8, 8)

Answer 1

The points that are exactly 10 units from the point (–8, –2) are (2, –2) and (–8, 8).

Explanation:

The distance formula is;

d=
`\sqrt{( x_(2)-x_(1) )^(2)-(y_(2) -y_(1) )^(2) }`

So for distance between: (–8, –2) and (2, –2) is:

d=
`\sqrt{( 2-(-8))^(2)-(-2 -(-2) )^(2) }`

d=
`√(100)`

d= 10 unit

Similarly for distance between: (–8, –2) and (–8, 8) is,

d=
`\sqrt{( -8-(-8))^(2)-(8 -(-2) )^(2) }`

d=
`√(100)`

d= 10 unit