Answer:
The exact distance from the police officer to the sports car is:
[tex]\sqrt{202}\ \text{units}[/tex]
Step-by-step explanation:
We know that a distance between two points:
[tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is calculated by using the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
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:
[tex]d=\sqrt{(-9-2)^2+(0-9)^2}\\\\\\d=\sqrt{(-11)^2+(-9)^2}\\\\\\d=\sqrt{121+81}\\\\\\d=\sqrt{202}[/tex]
Hence, the distance between police officer and sports car is:
[tex]\sqrt{202}\ units[/tex]
