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

is there and answers like mutipol choice

Answer 2

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

`√(202)\ \text{units}`

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=√((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=√((-9-2)^2+(0-9)^2)\\\\\\d=√((-11)^2+(-9)^2)\\\\\\d=√(121+81)\\\\\\d=√(202)`

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

`√(202)\ units`