Question

find the distance between the points (5, 3) and (-4, 3). distance: 10.81 correct answer: distance: 9

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, $(x_1,y_1)=(5,3)$ and $(x_2,y_2)=(-4,3)$.

Step2: Substitute values

Substitute $x_1 = 5$, $y_1 = 3$, $x_2=-4$, $y_2 = 3$ into the formula: $d=\sqrt{(-4 - 5)^2+(3 - 3)^2}=\sqrt{(-9)^2+0^2}$.

Step3: Simplify

$\sqrt{(-9)^2+0^2}=\sqrt{81+0}=\sqrt{81}=9$.

Answer:

9