M'NO'P has vertices at M(3,4),N6,4, 0 (6, 7), and P(3,7). The
center of dilation is the origin. MNOP has
vertices at M(4.5, 6), N(9,6), O (9, 10.5),
and P (4.5, 10.5). What is the algebraic
representation of this dilation?

  Dilation(origin, 2/3)

Step-by-step explanation:

The coordinate values of the image are 3/4.5 = 2/3 times those of the pre-image.

Different authors write these dilations different ways. Essentially, it is ...

  transformation(center, scale factor) = Dilation(origin, 2/3)

Your required format likely will vary.

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared