Question

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

Answer 1

Answer:

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

Step-by-step 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= $\sqrt{100}$

                            d= 10 unit

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

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

                               d= $\sqrt{100}$

                               d= 10 unit