Unless otherwise specified we usually assume the dilation is about the origin. That is you can tell the scale factor by the way the distance to the origin changes.
Point C, for example, is 6 units from the origin. Its image, C' is 4 units from the origin. Then the scale factor image/original is 4/6 = 2/3.
Your green question mark gets filled with 3 to make the fraction 2/3.
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To find the translation, pick any point on A'B'C' and find the corresponding point A'', B'', or C''. Count the squares you have to go left to get from A' to A'', for example. That will be 5 to the left. Similarly, count the squares you have to go down to get from A' to A''. That will be 4 down.
Answer:
2.5
Step-by-step explanation:
The one thing that changes in the problem is the milk. It goes from 8 oz. to 12 oz., so we are going to use the oz count to determine the amount of espresso. Since the amount of milk rose, so is the amount of espresso. Now, you take the larger number and divide it by the smaller number (12 / 8 = 1.5). This answer will tell you by what multiple it increased by. Once you have the multiple it increased by, you multiply that answer (1.5) by the other unknown changing number, so 1.5 x 1.5. Do this and you get 2.5.
Answer:
C) 36
Step-by-step explanation:
You have to add all the numbers together and then divide by the amount of numbers, in your case 5.
To simplify x^2-3 =5x
You would first subtract 5x from both sides
X^3-5x-3
Next you would plug this into the quadratic equation:
X=5+/- the square root of: -5^2 -4(1)(-3)/2(1)
Then simplify,
5+/- the squareroot of 24 + 12 / 2
5+/- The squareroot of 36 /2
5+/- 6 / 2
Then solve if it’s an addition or subtract
5+6/2
X=11/2 or 5 1/2
5-6/2
X= -1/2
The answer is x=-1/2 or x=11/2
Hope this helps
