Answer:
r = 2
Step-by-step explanation:
slope = (y2 - y1)/(x2 - x1)
(-1, -5) 
(r, -9)
 -5 - (-9) / -1 - r = 2
4 / -1 - r = 2
r = -2
-1 - (-3) = 2
4 / 2 = 2
Please let me know if I've gotten anything wrong!
 
        
             
        
        
        
Answer:
1. Translate circle A using the rule (x − 3, y + 4).
4. Dilate circle A by a scale factor of 5
Step-by-step explanation:
we know that
All circles are similar figures
step 1
Translate the center of circle A to the center of circle B
we have
A(2,8) -----> B(5,4)
so
The rule of the translation is
(x,y) ----> (x+a,y+b)
(2,8) ----> (2+a,8+b)
2+a=5 ----> a=5-2=3
8+b=4 ---> b=4-8=-4
therefore
The rule of the translation is
(x,y) ----> (x+3,y-4)
step 2
Divide the radius of circle B to the radius of circle A to find out the scale factor
10/2=5
so
Multiply the radius of circle A by the scale factor to obtain the radius of circle B
therefore
Dilate circle A by a scale factor of 5
 
        
             
        
        
        
9514 1404 393
Answer:
   C.  parallelogram, then rectangle
Step-by-step explanation:
The attached image shows how the shape evolves as the number of segments of the circle increases. The smaller the central angle, the closer the shape becomes to a rectangle.
 
        
             
        
        
        
Answer:
the scale factor is 2
Step-by-step explanation:
7 x 2 = 14
6 x 2 = 12
10 x 2 = 20