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:
x+18
Step-by-step explanation:
Let's simplify step-by-step.
2x+8−x+10
=2x+8+−x+10
Combine Like Terms:
=2x+8+−x+10
=(2x+−x)+(8+10)
=x + 18
Answer:
61.64 cm
Step-by-step explanation:
The longest metal rod which could be stored in a rectangular box will be equal to its diagonal:
Answer:
The slope of line G is 
.
Step-by-step explanation:
Given as :
The points of the line CH contains
C = 
, 
= - 2 , 6
H = 
, 
= 5 , -3
Let The slop of line CH = G
<u>Now, slope of line is </u>
G = 
i.e G = 
Or, G = 
Or,G =
So, The slope of the line CH = G =
Hence, The slope of line G is . Answer
