What is the image of p for dilation with center (0,0)and a scale factor of 2.5

The image of p is (2.5x , 2.5y)

Step-by-step explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.  

- It can become larger or smaller, but the shape of the

 figure does not change.  

- The scale factor, measures how much larger or smaller  

 the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

* In our problem

- Point p is (x , y)

- Center of dilation is (0 , 0)

- The scale factor is 2.5

* To get the image multiply each coordinates of p by 2.5

∴ The image of p is (2.5x , 2.5y)

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.

step-by-step explanation: