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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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kondaur [170]
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Please I’m begging<br> I’ll do anything
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Step-by-step explanation:

8 0
3 years ago
grandma gigi gave leyla a rare purple stone for her sweet 16 birthday. at that time,the stone was worth$245. it has been increas
sergij07 [2.7K]
This is a compound interest problem, therefore s(t) should be in the form:
s(t) = a(r)^{t}

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Therefore, we already know that a = 245$.

Now, we can calculate r:
r^{t}=\frac{s}{a}
r =  \sqrt[t]{ \frac{s}{a} }
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Therefore, the correct answers are a = 245 and r = 1.18

4 0
3 years ago
Which of the following describe 8? Select all that apply.
pav-90 [236]

8 is a<u> Natural number, </u><u>Whole number, Integer and Real number</u>

<h3>What is an integer?</h3>

An integer is a number that cannot be expressed as fraction. They are known as whole numbers.

For natural numbers, they are value that starts from 1 and above. Since 8 is greater than 1, hence it is a natural number.

Real number includes both fractions and whole numbers, hence 8 is also a real number.

Based on the explanation, we can conclude that 8 is a<u> Natural number, </u><u>Whole number, Integer and Real number</u>

Learn more on numbers here: brainly.com/question/1746829

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8 0
2 years ago
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