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:
Find the rate of those two statements:
28 ÷ 16 = 1.75
1.75 ft per seconds
7 ÷ 4 = 1.75
1.75 ft per seconds
Two statements have the same rate, therefore 28 feet every 16 seconds and 7 feet every 4 seconds are equivalent
0/5 1/5 2/5 3/5 4/5 5/5 hope this helps
Answer:
<h2>$5.625 (per hour)</h2>
Step-by-step explanation:
45÷8 = 5.625
