Question

find the distance between the points (2, 4) and (-5, 4). round decimals to the nearest tenth. 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, $(x_1,y_1)=(2,4)$ and $(x_2,y_2)=(-5,4)$.

Step2: Substitute values

Substitute $x_1 = 2$, $y_1 = 4$, $x_2=-5$, $y_2 = 4$ into the formula:
\[

$$\begin{align*} d&=\sqrt{(-5 - 2)^2+(4 - 4)^2}\\ &=\sqrt{(-7)^2+0^2}\\ &=\sqrt{49+0}\\ &=\sqrt{49} \end{align*}$$

\]

Step3: Calculate the result

$\sqrt{49}=7$.

Answer:

7