Equation of the circle:

Step-by-step explanation:
The equation of a circle is given by

where
are the coordinates of the center of the circle
r is the radius of the circle
For the circle in this problem, we know that:
(5,4) are the coordinates of the center
We also know that the circle passes through the point (-3,2), therefore we can calculate the radius as the distance between the point on the circle and the center of the circle:

Therefore, the equation of the circle is:

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Answer:
3.162 units
Step-by-step explanation:
First identify the points that undergo transformation
You have;
A = (0,0) and B =(1,3)
The transformation is T: (x,y)= (x+2, y+1), this means to get the image you add the x coordinate of the object to 2, and the y coordinate to 1.
<u>Finding coordinates of the image points A' and B' </u>
A'= (0+2,0+1) = (2,1)
B'=(1+2, 3+1)=(3,4)
<u>Finding the distance A'B'</u>
The formula for distance d is

where
x₁=2
x₂=3
y₁=1
y₂=4
d=distance between two points
Applying the formula

The distance A'B' is √10 =3.162 units
Answer:
I did not now but anobody help you l bless you someone help
AnswerY=-10/3x+11:
Step-by-step explanation:
M=0--2/-3-4= -10/3
Y-1=-10/3(x-3)
-10/3x+10+1
Y=-10/3x+11
Answer:
Line BD can't be represent by the image.
Explanation:
Point: Point is a dot or vertex of any figure or diagram. It represent by capital alphabet. So, B would be a point.
Line: A line is a straight path with both endless. It means we can extends line from both end. But in case of BD we can't extend from point B. So, it won't be line.
Ray: A ray is straight path with one endless. It means we can't extend line from one end and extend from another end. But we can extend AC from both end. It won't be a ray.
Line Segment: A line segement is straight path with end from both end. We can't extend from either end of the line. We can say CD would be line segment.
Option 2 is correct.