Find the area of the shaded figure.

8500 ft²

Step-by-step explanation:

First we need to find the area of the non shaded region within this shaded region. To find the area of this non shaded rectangle, use the formula base×height.

20×100=2000 ft².

Now we need to find the height and width of the shaded region which is,

25+25+20=70 Height

25+25+100=150 Width

mutiply these numbers 150×70=10500 ft²

Now we just need to subtract that inside area.

10500-2000=8500 ft²

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: