Question

formula 10 points. using the distance formula, find the distance between points (6,15) and (55,68). note: round your answer to the nearest tenth place.

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, $x_1 = 6,y_1 = 15,x_2 = 55,y_2 = 68$. So $d=\sqrt{(55 - 6)^2+(68 - 15)^2}=\sqrt{49^2+53^2}$.

Step3: Calculate the squares

$49^2=2401$ and $53^2 = 2809$. Then $d=\sqrt{2401+2809}=\sqrt{5210}$.

Step4: Find the square - root and round

$\sqrt{5210}\approx72.2$.

Answer:

$72.2$