Because you were desperate for a gift for your mom, you have a picture of yourself imbedded in the center of a cubic block of lucite (n = 3/2) with sides of length 8cm. as you turn the block you notice the location of the picture seems to change. you know the picture is physically in the exact center of the block. how far from one of the faces of the block does the picture appear to be, that is what is the image distance of the picture from the face you are looking through?

select one of the following:

(a) 1.5cm

(b) 2.7cm

(c) 6.0cm

(d) 9.0cm

correct option is (b) 2.7cm

Explanation:

given data

n = 3/2 = 1.5

sides of length  = 8 cm

to find out

How far from one of the faces of the block that what is the image distance of the picture from the face

solution

we get here distance that is

distance d =      ......................1

put here value as do is  = 4 cm

so

distance d =  

distance d =  

distance d = 2.6666666 = 2.67

so correct option is (b) 2.7cm

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 .

i think the answer is bone