Question

find the distance between the points (-4, 5) and (6, 5).
distance:

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, $x_1=-4,y_1 = 5,x_2=6,y_2 = 5$.

Step2: Substitute values

Substitute the values into the formula: $d=\sqrt{(6-(-4))^2+(5 - 5)^2}=\sqrt{(6 + 4)^2+0^2}$.

Step3: Simplify the expression

First, calculate inside the square - root: $(6 + 4)^2+0^2=10^2+0=100$. Then, $\sqrt{100}=10$.

Answer:

10