Answer:
Step-by-step explanation:
Use the formula of distance between the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
1. Distance between A(3, 4) and B(8, 12),
AB = [tex]\sqrt{(8-3)^2+(12-4)^2}[/tex]
AB = [tex]\sqrt{25+64}[/tex]
= [tex]\sqrt{89}[/tex]
≈ 9.43
2. Distance between C(-2, 10) and D(3, -2),
CD = [tex]\sqrt{(3+2)^2+(-2-10)^2}[/tex]
= [tex]\sqrt{25+144}[/tex]
= [tex]\sqrt{169}[/tex]
= 13.00
3. Distance between X(20, 4) and Y(17, 0),
XY = [tex]\sqrt{(20-17)^2+(4-0)^2}[/tex]
= [tex]\sqrt{3^2+4^2}[/tex]
= [tex]\sqrt{25}[/tex]
= 5.00
4. Distance between E(2, -1) and M(6, 9),
EM = [tex]\sqrt{(2-6)^2+(-1-9)^2}[/tex]
= [tex]\sqrt{16+100}[/tex]
= [tex]\sqrt{116}[/tex]
= 10.77
