Question

question 1 of 10 which expression gives the distance between the points (2, 5) and (-4, 8)? a. $sqrt{(2 + 4)^2 + (5 - 8)^2}$ b. $sqrt{(2 - 4)^2 + (5 - 8)^2}$ c. $(2 + 4)^2 + (5 - 8)^2$ d. $(2 - 4)^2 + (5 - 8)^2$

Explanation:

Step1: Recall the distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_1 - x_2)^2+(y_1 - y_2)^2}$.

Step2: Identify the coordinates

Here, $x_1 = 2,y_1 = 5,x_2=- 4,y_2 = 8$.

Step3: Substitute into the formula

Substitute the values into the formula: $d=\sqrt{(2-(-4))^2+(5 - 8)^2}=\sqrt{(2 + 4)^2+(5 - 8)^2}$.

Answer:

A. $\sqrt{(2 + 4)^2 + (5 - 8)^2}$