Question

find the distance between a (2,6) and n (5,10). round to the nearest tenth, if necessary. 5 units

Explanation:

Step1: Identify the 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, $x_1 = 2,y_1 = 6,x_2 = 5,y_2 = 10$.

Step2: Calculate the differences

$x_2 - x_1=5 - 2=3$ and $y_2 - y_1=10 - 6 = 4$.

Step3: Square the differences and sum them

$(x_2 - x_1)^2+(y_2 - y_1)^2=3^2+4^2=9 + 16=25$.

Step4: Take the square - root

$d=\sqrt{25}=5$.

Answer:

5