Acar travels 20 km west, then 20 km south. what is the magnitude of its displacement?
a) 0 km
b) 20 km
c) 28 km
d) 40 km

The magnitude of its displacement of the car is 28 km.                

Explanation:

It is given that,

Distance covered by the car due west,

Distance covered by the car due south,

We need to find the magnitude of its displacement. Let it is given by d. We know that displacement of an object is equivalent to the shortest path traveled. It can be calculated as :

d = 28.28 km

or

d = 28 km

So, the magnitude of its displacement is 20 km. Hence, the correct option is  (c).

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .