Complete the derivation of the standard form of the equation of a circle with center (0, 0). (X, y) (0, 0) 2 1. d= (x2 - x,)* + (Ya-Y1) Distance Formula 2. r= Substitute r for d, (0, 0) for (x1, y1), and (x, y) for (x,, y). 3. 4. 3. Simplify the square root. p2 = x +y? Square both sides. X + 3. Simplify. Square the square roots. r = N Simplify. ,2 4. = x* +y Square both sides. r= Jx +y? 3. Simplify. = 4. Take the square root of the right side. 4. 4. 3. b.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter1: Equations And Graphs
Section1.CR: Chapter Review
Problem 4CC
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Complete the derivation of the standard form of the equation of a circle with center (0, 0).
(x, y)
|(0, 0)
2
1. d=
x2-x1)+ (2-ı) Distance Formula
2. r=
Substitute r for d, (0, 0) for (x1, y1), and (x, y) for (x2, ya).
3.
4.
3.
Simplify the square root.
p2 = x +y?
Square both sides.
X* +
3.
Simplify.
Square the square roots.
r= lx +
Simplify.
,2
= x* +y Square both sides.
4.
3.
Simplify.
,2
=
4.
Take the square root of the right side.
4.
4.
3.
b.
Transcribed Image Text:Complete the derivation of the standard form of the equation of a circle with center (0, 0). (x, y) |(0, 0) 2 1. d= x2-x1)+ (2-ı) Distance Formula 2. r= Substitute r for d, (0, 0) for (x1, y1), and (x, y) for (x2, ya). 3. 4. 3. Simplify the square root. p2 = x +y? Square both sides. X* + 3. Simplify. Square the square roots. r= lx + Simplify. ,2 = x* +y Square both sides. 4. 3. Simplify. ,2 = 4. Take the square root of the right side. 4. 4. 3. b.
Question 5 (1 point)
What is the equation of the circle with center (0, 0) that passes through the point (-8, 3)?
x + y = 55
(x- (-8)? + (-3)² - 55
(x- 3)? + (y- 3)? - 73
x² + y? = 73
O a
%3D
O d
Transcribed Image Text:Question 5 (1 point) What is the equation of the circle with center (0, 0) that passes through the point (-8, 3)? x + y = 55 (x- (-8)? + (-3)² - 55 (x- 3)? + (y- 3)? - 73 x² + y? = 73 O a %3D O d
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