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= [tex]\sqrt{( x_{2}-x_{1} )^{2}-(y_{2} -y_{1} )^{2} }[/tex]
So for distance between: (–8, –2) and (2, –2) is:
d= [tex]\sqrt{( 2-(-8))^{2}-(-2 -(-2) )^{2} }[/tex]
d= [tex]\sqrt{100}[/tex]
d= 10 unit
Similarly for distance between: (–8, –2) and (–8, 8) is,
d= [tex]\sqrt{( -8-(-8))^{2}-(8 -(-2) )^{2} }[/tex]
d= [tex]\sqrt{100}[/tex]
d= 10 unit
