Question

A police officer, in her car, is watching a person in a sports car. Assume the locations of the cars are mapped onto the coordinate plane as shown in the graph . What is the exact distance from the police officer to the sports car?

Answer 1

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Answer 2

Answer:

The exact distance from the police officer to the sports car is:

                        $\sqrt{202}\ \text{units}$

Step-by-step explanation:

We know that a distance between two points:

       $(x_1,y_1)$ and $(x_2,y_2)$ is calculated by using the distance formula:

    $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Here we have to find the distance between:

     Police officer who is located at (-9,0) and sports car which is located on the coordinate grid at (2,9)

Hence, the distance between (-9,0) and (2,9) is:

 $d=\sqrt{(-9-2)^2+(0-9)^2}\\\\\\d=\sqrt{(-11)^2+(-9)^2}\\\\\\d=\sqrt{121+81}\\\\\\d=\sqrt{202}$

          Hence, the distance between police officer and sports car is:

                     $\sqrt{202}\ units$