9514 1404 393
Answer:
a2 = 12
a3 = 36
Step-by-step explanation:
Terms of a geometric sequence have a common ratio. If we call that ratio r, then we have ...
a2 = 4r
a3 = (a2)r = 4r^2
108 = (a3)r = 4r^3
27 = r^3 . . . . . . . . . . . divide by 4
3 = r . . . . . . . . . . cube root
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a2 = 4(3) = 12
a3 = 12(3) = 36
If you are moving the center of circle 2 to the the center of circle 1, then the translation rule is (x,y) ---> (x+4, y+10).
Note how x = 1 turns into x = 5. So we add 4
Also, y = -2 turns into y = 8. We add 10
The scale factor to turn the radius r = 4 into r = 8 is 2. Basically we double the radius. We can divide the two radii to see 8/4 = 2
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Summary:
To go from circle 2 to circle 1, we apply these two transformations
translation: (x,y) ---> (x+4, y+10)
dilation: scale factor 2
note:
if you want to go backwards, go from circle 1 to circle 2, then undo the transformations above
45 per 3 hours! :) hope this is good
The equation to calculate the coordinates of point B is (b) 3 = √(x - 4)²+(y - 2)²
<h3>How to determine the equation?</h3>
The given parameters are:
A = (4,2)
AB = 3
The distance formula is:
AB = √(x - x1)²+(y - y1)²
So, we have:
3 = √(x - 4)²+(y - 2)²
Hence, the equation to calculate the coordinates of point B is (b) 3 = √(x - 4)²+(y - 2)²
Read more about distance coordinates at:
brainly.com/question/7243416
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