Aman returns home from a two month trip and discovers that his enemies have put a moat around his property. the property consists of a 108×108 foot square centered within a 140×140 foot square, and everything between the two is water. no boat is available and he cannot swim. his only hope is two sturdy planks left behind by the construction crew. each plank is sixteen feet long, so they are too short to span the moat. he has no way to tie them together. how does he get across?

He can lay one plank across the corner of the outer square, reducing the corner-to-corner distance by about 10 ft. That distance is about 23 ft, so can be reduced sufficiently that the other plank will bridge the gap.

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).

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: