Question

1. what is the distance between the points (3,5) and (8,10)? 7.07 6.40 5.83 9.22

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 given points

Here, $x_1 = 3,y_1 = 5,x_2 = 8,y_2 = 10$. So $d=\sqrt{(8 - 3)^2+(10 - 5)^2}$.

Step3: Calculate the values inside the square - root

$(8 - 3)^2=5^2 = 25$ and $(10 - 5)^2=5^2 = 25$. Then $d=\sqrt{25 + 25}=\sqrt{50}$.

Step4: Simplify the square - root

$\sqrt{50}=\sqrt{25\times2}=5\sqrt{2}\approx5\times1.414 = 7.07$.

Answer:

7.07