Answer:
B) 6.7 units
Step-by-step explanation:
Let [tex](x_1,y_1)=A(-4,4)[/tex] and [tex](x_2,y_2)=B(2,1)[/tex]
Use the distance formula given by;
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Plug in the values.
[tex]|AB|=\sqrt{(2--4)^2+(1-4)^2}[/tex]
Simplify
[tex]|AB|=\sqrt{(2+4)^2+(-3)^2}[/tex]
[tex]|AB|=\sqrt{(6)^2+(-3)^2}[/tex]
[tex]|AB|=\sqrt{36+9}[/tex]
[tex]|AB|=\sqrt{45}[/tex]
[tex]|AB|=3\sqrt{5}[/tex]
[tex]|AB|=6.7[/tex] units, to the nearest tenth.
Answer:
b
Step-by-step explanation:
Apply the Pythagorean theorem,
62 + (−3)2
=
45
≈ 6.7 units
