There would be a multiplication sign in between the 8 and the 1
Answer:
1. f (2) = 3 x 2^x-1
2. f (-1) = -3 x 2^x
3. f (10) = 3 x 2^x/10
Step-by-step explanation:
Answer:
9 times
Step-by-step explanation:
The best way to go about this is to give actual figures
Let us consider rectangular shape
Let us have a rectangle with dimensions 6 m by 12 m
The area will be 6 * 12 = 72 m^2
The shape having a similar dimension would have dimensions 12m by 36 m
So its area will be ;
18 * 36 = 648 m^2
So we finally proceed to make a division
Mathematically, that will be 648/72 = 9
So the area will be in the ratio of 1 to 9
Answer:
The image of the point (1, -2) under a dilation of 3 is (3, -6).
Step-by-step explanation:
Correct statement is:
<em>What are the coordinates of the image of the point (1, -2) under a dilation of 3 with the origin.</em>
From Linear Algebra we get that dilation of a point with respect to another point is represented by:
(Eq. 1)
Where:
- Reference point with respect to origin, dimensionless.
- Original point with respect to origin, dimensionless.
- Dilation factor, dimensionless.
If we know that 
, 
and 
, then the coordinates of the image of the original point is:
![\vec P' = (0,0) +3\cdot [(1,-2)-(0,0)]](https://tex.z-dn.net/?f=%5Cvec%20P%27%20%3D%20%280%2C0%29%20%2B3%5Ccdot%20%5B%281%2C-2%29-%280%2C0%29%5D)
The image of the point (1, -2) under a dilation of 3 is (3, -6).
Yes
Step-by-step explanation:
4×7=28
and 7×4 also equal to 28
