Question

question 6 of 10 calculate the distance between the two points shown on the graph below. give your answer correct to 2 decimal places if necessary.

Explanation:

Step1: Recall 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, $A(6,6)$ and $B(7,7)$, so $x_1 = 6,y_1=6,x_2 = 7,y_2 = 7$.

Step2: Substitute values

Substitute the values into the formula: $d=\sqrt{(7 - 6)^2+(7 - 6)^2}=\sqrt{1^2+1^2}=\sqrt{1 + 1}=\sqrt{2}$.

Step3: Calculate the value

$\sqrt{2}\approx1.41$.

Answer:

$1.41$