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marishachu [46]
3 years ago
13

In the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B′. What is th

e scale factor of the dilation?
A) 1
B) 2
C) 0.5
D) -0.5

Mathematics
2 answers:
Alexus [3.1K]3 years ago
7 0
You need a picture to be able to  know the answer
Mrac [35]3 years ago
3 0

heres the picture to for the with question above


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Answer:

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Step-by-step explanation:

The circle with center in O(xo,yo) and radius r has the equation:

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We have:

x²+y²+ax+2y+3=0

But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4

And

y²+2y+3=y²+2y+1+2=(y+1)²+2

Replacing, we get:

(x+a/2)²-a²/4+(y+1)²+2=0

(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4

By visual inspection we note that:

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- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)

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Step-by-step explanation:

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