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).
Answer:
The two equations are similar because they both end up with the same common value. 0=0 The work you need to show that this is correct will be shown below.
Step-by-step explanation:
2(5m−4)−3(m−5)2=−3m2+40m−83
Add 3m^2 to both sides.
−3m2+40m−83+3m2=−3m2+40m−83+3m2
40m−83=40m−83
Subtract 40m from both sides.
40m−83−40m=40m−83−40m
−83=−83
−83+83=−83+83
0=0
If you have any questions regarding my answer please tell me in the comments, I will come and answer them. Have a good day.
Answer:
18.75 ft
Step-by-step explanation:
The given scenario can be drawn as shown in the following attachment.
Given that,
and 
Therefore, 
ft
AB is the height of the house.
Answer:
The x represents the value of the point on the x axis or the horizontal line, and the y represents the vertical line. Now, lets solve for the first point. We can first see that it only moves to the left by two from zero, which is basically -2. So, right now we have (-2,y). We then look for the y in which we see that it is down -6 from zero, so it will be (-2,-6). Time to look for the second point. We should get (2,-3). Now, with these two points, it is time to find the slope intercept form.
Step-by-step explanation:
