(-6,-4)
If you dilate a point, (c,d) about (a,b) by a scale factor by k. You'll going to subtract each coordinates where the point will be dilated about (a,b) from the point (c,d) and then multiply them by k. This would be the formula if you want: (k(c -a), k(b -d))
Let's say F is the dilation of D about the origin or (0,0) then the x coordinate of F would be
This would be the y coordinate of F:
Thus the coordinates of F is (-6,-4)
The answer is 9/11. Total outcomes = 11 favorable outcomes = 5 Probability = Number of favorable outcomes / Total number of outcomes Probability that Jonas will get an orange = 5/11 Total outcomes = 10 (because 1 fruit is already taken by Jonas) favorable outcomes = 4 Probability Beth will get an apple = 4/10 = 2/5<span>
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<span>Since the problem specifically stated that the people
gather around the table, therefore we assume a circular table hence a circular
formation of gathering. Since the
arrangement is important therefore we use the permutation. </span>
nPr = n! / (n – r)!
<span>However before we proceed with our calculation we MUST
first affix a reference point since the formation is circle. Imagine that the
reference point is the 1st point made when you draw a circle, so it
is the both the 0 degrees and the 360 degrees.</span>
Let us say that one of the actors is the reference point.
So there are now only 8 actors which places can be interchanged. Since all
actors have to sit together, hence the arrangements are:
8P8 = 8! / (8 – 8)! = 40,320
Now since there are 13 total people, therefore the
arrangements of the other 4 people are:
4P4 = 4! / (4 – 4)! = 24
We multiply all to get the total number of arrangements:
<span>Total arrangements = 40320 * 24 * 1 (1 is the reference point)</span>
<span>Total arrangements = 967,680</span>
Answer:
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Step-by-step explanation:
