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kari74 [83]
1 year ago
12

Given the following equation of a circle in general form, find the equation in standard form by completing the square.

Mathematics
1 answer:
Artist 52 [7]1 year ago
3 0

The standard form of the circle equation 4x² + 8x + 4y² + 32y +52 = 0 is (x + 1)² + (y + 4)² = 2²

<h3>What is a circle?</h3>

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have an equation that represents the circle:

4x² + 8x + 4y² + 32y +52 = 0

Divide by 4 on both the sides:

x² + 2x + y² + 8y + 13 = 0

x² + 2x + 1 - 1 + y² + 8y + 4² - 4² + 13 = 0

x² + 2x + 1 + y² + 8y + 4² - 1 - 16 + 13

(x + 1)² + (y + 4)² = 4

(x + 1)² + (y + 4)² = 2²

Thus, the standard form of the circle equation 4x² + 8x + 4y² + 32y +52 = 0 is (x + 1)² + (y + 4)² = 2²

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

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Answer:

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Step-by-step explanation:

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Vertical angles are congruent i.e their measures are equal

Look at the attached graph

Given:

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When lines AB and EF intersected at G they formed opposite angles like angles EGB and AGF, then angles EGB and AGF are congruent (  vertical angle theorem)

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Transitive Property of Equality:  if one angle is equal to two other angles, then the two other angles are equal

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∵ m∠EGB = m∠AGF

∵ m∠AGF = m∠CHF

∴ m∠EGB = m∠CHF (transitive property theorem)

 ∠EGB and ∠AGF are congruent; Transitive Property of Equality

4 0
3 years ago
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34kurt
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Answer:

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Step-by-step explanation:

Let

x ------> the length of the rectangular playing field

y -----> the width of the rectangular playing field

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Step-by-step explanation:

From the 400 she will pay back and the 40% .40x400= 160 + 400 making it into the total to $560

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