Question

T= 1,-1 u= 2, -4

Answer 1

Answer: 3.16 units (Option C)

Step-by-step explanation:

The key to this problem is to use the distance formula, which is:

Distance = $\sqrt{(x₁-x₂)²+(y₁-y₂)²}$

The first point, T = (x₁,y₁), and the second point, U = (x₂,y₂).

Plugging the two points into the equation, we get:

Distance = $\sqrt{(1-2)^{2}+(-1-(-4))^{2} }$

The values within the parenthesis are subtracted:

Distance = $\sqrt{(-1)^{2}+3^{2} }$

The values are then squared:

Distance = $\sqrt{1+9}$

Finally, they are added together:

Distance = $\sqrt{10}$

$\sqrt{10}$ can be approximated as 3.16, so the distance between the two points is 3.16 units.