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:
120 cm^2.
Step-by-step explanation:
The area of one triangle = 1/2 * base * height
= 1/2 * 8 * 6
= 1/2 * 48
= 24 cm^2
So area of the pentagon = 5 * 24
= 120 cm^2.
We are unable to answer this question without being able to see the graph.
Answer: 1.7 miles
Step-by-step explanation:
dog is walked four times a week
6 2/3 miles in all
6 2/3 divided by 4 = 1.66666667
1.66666667 rounded to nearest tenth = 1.7
