What is the perimeter of this rectangle?
a.) 2(x2 − x1) + 2(y2 − y1)
b.) (x2 − x1)(y2 − y1)
c.)sqrt 2(y2-y1)(x2-x1)
d.)4sqrt (y2-y1)^2(x2-x1)^2
e.)4(y2 − x1)(x2 − y1)

The perimeter of the rectangle is given by

A is the correct option.

Step-by-step explanation:

Distance formula of two points is given by

Using the distance formula,

Length of the rectangle is given by

Width of the rectangle is given by

Hence, the perimeter of the rectangle is given by

A is the correct option.

p = 6s

step-by-step explanation:

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: