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Chapter 11: Q. 35 (page 1082)

In the following exercises, 鈸� find the center and radius, then 鈸� graph each circle.

(x-1.5)2+(y+2.5)2=0.25

Short Answer

Expert verified

(a) Center of the circle (x-1.5)2+(y+2.5)2=0.25is (1.5,-2.5)and radius is 0.5

(b) graph of the circle is

Step by step solution

01

Step 1. given data

The given equation of the circle is

(x-1.5)2+(y+2.5)2=0.25

02

Step 2. Part (a)

Compare the equation of the circle with the standard equation of the circle

(x-1.5)2+(y+2.5)2=0.25(x-1.5)2+(y-(-2.5))2=(0.5)2(x-h)2+(y-k)2=r2

so center(h,k)=(1.5,-2.5)

and radiusr=0.5

03

Step 3. Part (b)

Plot the circle of center (1.5,-2.5)and radius 0.5

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