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Chapter 9: Q 1. (page 771)

Finding the center and radius for a circle by completing the square:

Each of the equations that follow is an equation for a circle.

Find the center and radius for each.

x2+y2-y-34=0

Short Answer

Expert verified

Center is0,12and radius is equal to 1 unit.

Step by step solution

01

Step 1. Given information

An equation of a circle is x2+y2-y-34=0

02

Step 2. Explanation

x2+y2-y-34=0x2+y2-212y+122-122-34=0x2+y-122=1

So, center is0,12and radius is 1 unit.

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Most popular questions from this chapter

Measurements indicate that the orbital eccentricity of Mars is0.0935 and its semimajor axis is 1.517323951astronomical units.

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y2-8y-4x2-8x-13=0

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directrixx=x0, focusx1,y1,wherex0鈮�x1.

Use Cartesian coordinates to express the equations for the parabolas determined by the conditions specified in Exercises 22鈥�31.

directrixx=-1,focus(2,5)
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