(A) 5a +10b -36
(B) 19p + 921
(C) -4a +7b
(D) 7x -9y + 10z
Answer:
2) is addition property
3) is multiplication property
Step-by-step explanation:
Basically, you have two circles. You are asked to take circle 1 and "move it" so that it is on top of circle 2. This process of moving is called a translation and can be thought of as sliding. You do this by ensuring that the two have the same center. So, starting at (-4,5) how do you have to move to end up at (2,1)?
To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).
Once you do this the circles have the same center. Next you wish to dilate circle 1 so it ends up being the same size at circle 2. That means you stretch it out in such a way that it keeps its shape. Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.
Translations and dilations (along with reflections and rotations) belong to a group known as transformations.
Answer:
4.31 kilometer
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Answer: Percentage increase is <em><u>87.02%.</u></em>
Explanation: Percentage increase is calculated by subtracting the value in 2012 from the value of exports in 2011 and then dividing it by the value in year 2011.
a. Subtract value in 2012 from value in 2011
b. Divide the answer in part a by value in 2011.
c. Multiply the answer in part b by 100.
We have the percentage increase.
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