You divide both numbers by their largest common factor, which is 5 in this case.
15(/5):5(/5)
3:1
The Answer Is D. Hope This Was Helpful!
Answer:
The dilation on any point of the rectangle is 
.
Step-by-step explanation:
From Linear Algebra, we define the dilation of a point by means of the following definition:
![G'(x,y) = O(x,y) +k\cdot [G(x,y)-O(x,y)]](https://tex.z-dn.net/?f=G%27%28x%2Cy%29%20%3D%20O%28x%2Cy%29%20%2Bk%5Ccdot%20%5BG%28x%2Cy%29-O%28x%2Cy%29%5D)
(1)
Where:
- Coordinates of the point G, dimensionless.
- Center of dilation, dimensionless.
- Scale factor, dimensionless.
- Coordinates of the point G', dimensionless.
If we know that 
, 
and 
, then scale factor is:
![(5,-5) = (0,0) +k\cdot [(2,-2)-(0,0)]](https://tex.z-dn.net/?f=%285%2C-5%29%20%3D%20%280%2C0%29%20%2Bk%5Ccdot%20%5B%282%2C-2%29-%280%2C0%29%5D)
The dilation on any point of the rectangle is:
![P'(x,y) = (0,0) + \frac{5}{2}\cdot [P(x,y)-(0,0)]](https://tex.z-dn.net/?f=P%27%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B%20%5Cfrac%7B5%7D%7B2%7D%5Ccdot%20%5BP%28x%2Cy%29-%280%2C0%29%5D)
(2)
The dilation on any point of the rectangle is .
Hi there! I don’t see any answer choices listed, however this function takes place in the First and Third quadrants of an xy plane. This means that the values will either be at the origin (0,0) or equal numbers with the same sign. For example, (2,2), (-8,-8), and (1.38,1.38) would all be possible points. When looking at points that are given, plug x and y into your equation and see if they give the right answer. If you come across a value with different signs, such as (-4,4) or (9.3,-9.3), that will be excluded from the equation or line on a graph. PS. x-y=0 simplifies to x=y, which might make it a bit easier to look at, and on a graph y=x is simply a diagonal line across quadrants I and III. Let me know if you need any extra help!
Answer:
6 boxes total.
Step-by-step explanation:
Total no. of color pencil in all /colored pencils for each box=No. of color pencil boxes
=90/15
=6 boxes
