The diagram shows squares 1, 2, and 3 constructed on the sides of a right triangle.

which statement about the squares must be true?

a. (perimeter of 1) + (perimeter of 2) = (perimeter of 3)
b. (area of 1) + (area of 2) = (perimeter of 3)
c. (area of 1) + (area of 2) = (area of 3)
d. (perimeter of 1) + (perimeter of 2) = (area of 3)

C.(Area of 1) + (Area of 2) = (Area of 3)

Step-by-step explanation:

on friday there were 15 birds

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: