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:
Square root of 7 minus 2 equals x.
Step-by-step explanation:
X is irrational soooo
Answer: 115, 2645
(x= 115, y= 2645)
Step-by-step explanation:
There are two methods to this, which is using the graph with each x and y value, or substituting in values.
I would suggest looking at the graph first and then substituting values so you know the equation is being satisfied by the ordered pair.
In this case, one way to check it could look like this (substituting y value):
y = 23x
2645 = 23x
x = 2645÷23
x = 115
Answer:
the system of equation has infinite solution
Step-by-step explanation:
, 
Solve the first equation for x_2
Subtract 5x1 on both sides


Now substitute -5x1 on second equation



0=0
So the system of equation has infinite solution
1. Angle DEF
2. Definition of congruent angles
3. The measure of angle GHI