Question

1. find the distance from (0,3) to (4,0).

Explanation:

Step1: Identify distance formula

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

Step2: Substitute the points

Here, $(x_1,y_1)=(0,3)$ and $(x_2,y_2)=(4,0)$. So $d=\sqrt{(4 - 0)^2+(0 - 3)^2}$.

Step3: Calculate the squares

$(4 - 0)^2=4^2 = 16$ and $(0 - 3)^2=(-3)^2 = 9$. Then $d=\sqrt{16 + 9}$.

Step4: Simplify the square - root

$16+9 = 25$, so $d=\sqrt{25}=5$.

Answer:

5