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:
Step-by-step explanation:
Take an easier number. Suppose you owe your mother = 10 dollars and your father 15. Which one is the bigger debt? Isn't it your father.? So how do you represent the two debts.
Father = - 15
Mother = - 10
Which number is bigger? - 10. Remember the question is bigger. You would rather own just 10 dollars.
So which number is "larger"?
Isn't it -4488. If it was money and you owed it, would it be the debt you would rather have than -4820
An<span> = am</span><span> + (n – 1)d.
i feel like this can work</span>
Answer:
14.4% decrease
Step-by-step explanation:
Here is the formula for finding the percentage of decrease:
(starting value - final value) / starting value * 100.
So for your question,
/
There was a 14.4% decrease within 50 years.
