Applying a dilation centered at the origin with scale factor
has the effect of multiplying both coordinates of a point by
:
![(x,y)\mapsto (kx,ky)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cmapsto%20%28kx%2Cky%29)
So, in your case, the coordinates of the points double:
![J'=(4,8),\quad K'=(8,8),\quad P'=(6,4)](https://tex.z-dn.net/?f=J%27%3D%284%2C8%29%2C%5Cquad%20K%27%3D%288%2C8%29%2C%5Cquad%20P%27%3D%286%2C4%29)
The percentage of the radioactive isotope left is 25.0000%.
<h3>What is the half life?</h3>
The half life of a radioactive isotope is the time that will elapse before only half of the number of original isotopes will remain.
Now;
We are told that;
Half life (t1/2) = 55 days
Time taken (t) = 115 days
Ratio of isotope remaining = N/No
Thus;
N/No = (1/2)^t/t1/2
N/No = (1/2)^115/55
N/No = (1/2)^2
N/No =1/4
Hence, the percentage = 1/4 * 100/1 = 25.0000%
Learn more about half life of an isotope:brainly.com/question/16387602
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0.9030 > 0.8736
0.9 > 0.8
so your first option is correct
The distance between B and B' will be the same as distance between A and A'.
= sqrt ( (5-1)^2 + ( 1 - -2)^2)
= sqrt (16 + 9)
= 5 units answer