Answer:
If it is being dilated from (0,0) the answer is below.
Step-by-step explanation:
It depends on where it is scaled from. If you choose a point directly to that points left it will be pushed tot he right, and vice versa if it is on its right. Same for above and below
I am going to assume we are dilating from (0,0), but again, if there is another part of the question saying where it's from use this method for that as well.
So, from (0,0) the initial point is (-3, 11) Scaling by a factor of 3 means it gets pushes AWAY so it is 3 times as far away. (If it were a fraction or decimal it would be getting pulled closer)
Using (0,0) as the dilation point is the easiest because we just have to ask how far are the x and y coordinates away from (0,0) and any number is THAT number away from 0.
We break this into the two coordinates too. so how far is -3 from 0? -3. so we want a point 3 times as far away, so what is that? -9. Same for 11, 11 is 11 away from 0 so we want it 3 times as far, which is 33.
Now that we have the two coordinates that is the answer.
(-9, 33)
Answer:
a.
b. $37.50
Step-by-step explanation:
To find out how much the 5 were paying in total, we can add the bill and the tip. This gives us x + 10. Since there are 5 people and they are splitting the bill equally, the total amount would be divided by 5 to get the amount each person pays:
. We already know the amount they each paid, as it is given as $9.50. Both expressions represent the same thing, do we can set them equal to each other:

Now, we can solve.
First, we can multiply by 5 on both sides to get:
47.5 = x + 10
And then subtract 10:
x = 37.5
This means the bill before the tip was $37.50
Answer: 7
Step-by-step explanation:
We found the factors and prime factorization of 28 and 35. The biggest common factor number is the GCF number. So the greatest common factor 28 and 35 is 7.
Hope this helps :)
Answer:
34.85%
Step-by-step explanation:
Let w be the probability of winning, then probability of losing would be (1 - w)
We know the ratio of winning to losing is 0.535
w/(1 - w) = 0.535
w = 0.535 - 0.535w
1.535w = 0.535
w = 0.348534202
% of games won:
0.348534202 × 100
34.8534202%
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