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
Answer:
![\frac{\sqrt[4]{30} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B4%5D%7B30%7D%20%7D%7B3%7D)
Step-by-step explanation:

Actually Welcome to the Concept of the Equilateral Triangles.
Since, we know that, all the sides of a triangle are equal, hence it is a Equilateral triangle.
Equilateral triangle has one all angles equal to 60°.
so, major angle P = 60°
hence, 2x=60°
===> x = 30°
Answer:
CP = 8 cm
Step-by-step explanation:
Given two chords that intersect inside a circle, then then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
DP × CP = AP × PB ← substitute values
6 × CP = 12 × 4
6CP = 48 ( divide both sides by 6 )
CP = 8
Answer:

Step-by-step explanation:
The right triangle has the hypotenuse = 18
Let 'Ф' be the missing angle
we know that
cos Ф = adjacent/hypotenuse
Here,
so
cos Ф = adjacent/hypotenuse



Therefore, the missing angle is:
