Question

finding distance between two points. what is the distance between the points a(11, 2) and b(5, 10)? use the graph to make a sketch in order to visualize. 6 units, 10 units, 8 units, 100 units, 36 units, 64 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, $x_1 = 11,y_1 = 2,x_2 = 5,y_2 = 10$.

Step2: Calculate differences

$x_2 - x_1=5 - 11=-6$ and $y_2 - y_1 = 10 - 2 = 8$.

Step3: Square the differences

$(x_2 - x_1)^2=(-6)^2 = 36$ and $(y_2 - y_1)^2=8^2 = 64$.

Step4: Sum the squared differences

$(x_2 - x_1)^2+(y_2 - y_1)^2=36 + 64=100$.

Step5: Take square - root

$d=\sqrt{100}=10$.

Answer:

10 units