Answer:
Step-by-step explanation:
Distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,
Distance = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
a). A(-6, -4), B(-3, -1)
Distance between A and B = [tex]\sqrt{(-6+3)^2+(-4+1)^2}[/tex]
= [tex]\sqrt{9+9}[/tex]
= 3√2
= 4.2 units
b). C(3.5, 1), D(-4, 2.5)
Distance between C and D = [tex]\sqrt{(3.5+4)^2+(1-2.5)^2}[/tex]
= [tex]\sqrt{58.5}[/tex]
= 7.65
≈ 7.7 units
c). Distance between X(5, -5) and Y(-5, 5)
Distance = [tex]\sqrt{(5+5)^2+(-5-5)^2}[/tex]
= [tex]\sqrt{200}[/tex]
= 10√2
= 14.14
≈ 14.1 units
