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bazaltina [42]
3 years ago
10

PLEASE HELP WILL GIVE BRAINLIEST!!! Type the correct answer in each box. If necessary, use / for the fraction bar(s).

Mathematics
1 answer:
eduard3 years ago
5 0

Answer:

NEED EXAMPLE PLZ TO ANSWERS!?

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Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi
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Answer:

r = 4

The center is:

(2, -4)

Step-by-step explanation:

We have the following equation

x^2 - 4x + y^2 + 8y = -4

The general equation of a circle has the following form

(x-h)^2 + (y-k)^2 = r^2

Where r is the radius and the point (h, k) is the center of the circle

To transform the given equation in the general equation of a circumference we must use the method of square completions

Step 1

(x^2 - 4x) + (y^2 + 8y) = -4

<u>Step 2</u>

<u> </u>Add and subtract (\frac{b}{2})^2 For an equation of the form

ax^2 +bx +c

(x^2 - 4x +4)-4 + (y^2 + 8y +16) -16= -4

<u>Step 3  </u> Factor the expressions within the parentheses

(x-2)^2-4 + (y+4)^2 -16= -4

<u>Step 4 Simplify</u>

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(x-2)^2 + (y+4)^2= 4^2

Finally

r = 4

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(2, -4)

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