Find ab if bc = 3, bd = 5, and ad = 6

Step-by-step explanation:

DC² = 5² - 3²       By Pythagoras' Theorem

DC² = 25 -9 =16

DC = √16 = 4

AC = AD + DC = AD + CD = 7 + 4 = 11

AB² = BC² + AC²

AB² = 3² + 11² = 9 + 121 = 130

AB² = 130

AB = √130

AB ≈ 11.402

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: