PLEASE HELP ASAP. A triangle with a vertex at point Y(-3, 7) is dilated by a scale factor represented by the coordinate pair (2/3x, 2/3y ). What is the location of Y'?

Please look at the picture below for the answer choices.

Step-by-step explanation:

Given

Required

Determine Y'

Y' can be solved by multiplying the scale factor by Y

i.e.

For, the x coordinates.

Where

For the y coordinates:

Where

Hence:

 567 students.

Step-by-step explanation:

Here, According to the given information,

The ratio of students who like orange and total number of student participate in the survey =

Let x students out of 2,000 students like orange.

Thus, In this case, the ratio of students who like orange and total number of student participate in the survey =

By the proportional reasoning,

Both ratio must be equal.

That is,    

⇒

⇒

⇒

Thus, out of 2000 students about 567 students select an orange as their favorite fruit.