Question

question 2 (1 point) use the distance formula to find the distance, to the nearest tenth, from t(4, -2) to u(-2, 3). a 3.4 units b -1.0 units c 0.0 units d 7.8 units

Explanation:

Step1: Identify distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $(x_1,y_1)=(4,-2)$ and $(x_2,y_2)=(-2,3)$.

Step2: Substitute values

$d=\sqrt{(-2 - 4)^2+(3-(-2))^2}=\sqrt{(-6)^2+(5)^2}=\sqrt{36 + 25}=\sqrt{61}$.

Step3: Calculate and round

$\sqrt{61}\approx 7.8$ (rounded to the nearest tenth).

Answer:

D. 7.8 units