Answer:
(9, 27 )
Step-by-step explanation:
Since the dilatation is centred at the origin, multiply each of the coordinates of the original point by the scale factor of 3
(3, 9 ) → (3(3), 3(9)) → (9, 27 )
I believe it is the last answer choice
If you have a problem like:
4x+2y=20
2x+2y=16
You would subtract
4x-2y=20
-2x+2y=16
You would get the new problum
2x=4
You now want to divide the 2 on both sides to solve for x
x=2
Now that you've solved for X you want to solve for y. So use substitution to solve for y. You would want to substatute the x for the 2 in either of the problums. I'll use the first one.
4(2)+2y=20
You first want to multiply te 4(2) you would get a new problum.
8+2y=20
Now you want to subtract the 8 on both sides.
2y=12
The last step to solve for y is to divide the 2 on both sides.
Y=6
So your answers would be
x=2
y=6
Lets discern the infomation:
number_men = 165*0.6 = 99
so there are 99 men
non_fiction = 165 * 0.4 = 66
so 66 authors write non-fiction.
men writing non-fiction are 40, so 59 men write fiction, and 26 women write non-fiction.
probability of author non-fiction or man?
non-fiction: 40 men + 26 women = 66 total
man writers = 99
so in total 99 man + 26 women = 115 authors
hence the probability is:
115/165 = 69.6%