Answer:
The scale factor is 1/4
Step-by-step explanation:
There are two ways to get this answer:
1. Graphically: After representing the point in the graph, you can count the distance between each point on the x and y axis, and the dilation point D).
The distance in the y-axis between A'B' and D is 1, while AB and D is 4.
The distance in the x-axis between A and D is 12, while A' and D is 3.
We can see that in both axis the distance is reduced by 1/4.![(y_{axis} =\frac{1}{4}); (x_{axis} =\frac{3}{12}=\frac{1}{4})](https://tex.z-dn.net/?f=%28y_%7Baxis%7D%20%3D%5Cfrac%7B1%7D%7B4%7D%29%3B%20%28x_%7Baxis%7D%20%3D%5Cfrac%7B3%7D%7B12%7D%3D%5Cfrac%7B1%7D%7B4%7D%29)
2. Mathematically: To do this is necessary to find the distance between for example point A and A' with D, and then find the proportion ![\frac{A'}{A}](https://tex.z-dn.net/?f=%5Cfrac%7BA%27%7D%7BA%7D)
![d_{AD}=\sqrt{(X_{D}-X_{A})^{2} +(Y_{D}-Y_{A})^{2} }](https://tex.z-dn.net/?f=d_%7BAD%7D%3D%5Csqrt%7B%28X_%7BD%7D-X_%7BA%7D%29%5E%7B2%7D%20%2B%28Y_%7BD%7D-Y_%7BA%7D%29%5E%7B2%7D%20%7D)
![d_{AD}=\sqrt{(9-(-3))^{2} +(0-(-4))^{2} } =\sqrt{(12)^{2} +(4)^{2} }](https://tex.z-dn.net/?f=d_%7BAD%7D%3D%5Csqrt%7B%289-%28-3%29%29%5E%7B2%7D%20%2B%280-%28-4%29%29%5E%7B2%7D%20%7D%20%3D%5Csqrt%7B%2812%29%5E%7B2%7D%20%2B%284%29%5E%7B2%7D%20%7D)
![d_{AD}=\sqrt160} =4\sqrt{10}](https://tex.z-dn.net/?f=d_%7BAD%7D%3D%5Csqrt160%7D%20%3D4%5Csqrt%7B10%7D)
Following the same procedure:
![d_{A'D}=\sqrt{(9-6)^{2} +(0-(-1))^{2} }=\sqrt{(3)^{2} +(1)^{2} }=\sqrt{10}](https://tex.z-dn.net/?f=d_%7BA%27D%7D%3D%5Csqrt%7B%289-6%29%5E%7B2%7D%20%2B%280-%28-1%29%29%5E%7B2%7D%20%7D%3D%5Csqrt%7B%283%29%5E%7B2%7D%20%2B%281%29%5E%7B2%7D%20%7D%3D%5Csqrt%7B10%7D)
Therefore, the proportion is ![\frac{d_{A'D}}{d_{AD}}=\frac{\sqrt{10}}{4\sqrt{10}} =\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bd_%7BA%27D%7D%7D%7Bd_%7BAD%7D%7D%3D%5Cfrac%7B%5Csqrt%7B10%7D%7D%7B4%5Csqrt%7B10%7D%7D%20%3D%5Cfrac%7B1%7D%7B4%7D)
if you had a phone you could download brainly and use a photo to search your answer
Step-by-step explanation:
Answer:
2500
Step-by-step explanation:
10% of 50,000 = 5000
5% = half of 10%
Half of 5000 is 2500
You get 10% by dividing by 10
Answer:12 (2v-7)
Step-by-step explanation: You have to find The GCF which is 12.THen you do 24v divide 12 which is 2v and do 84 divide 12 which is 7.Now put GCF which is 12 ,then write (,next write 2v - 7 .
Hope it helps :)
Answer:
idk
Step-by-step explanation: