primesonic11
Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.


5. A circle has the equation x2 + 8x + y2 - 16y - 64 = 0.
Rewrite the equation in standard form and identify its
center coordinates and radius length.
Answer (Show your work):

Sagot :

Answer:

Step-by-step explanation:

Y2-12y=-29= the answer is 6

Answer:

centre = (- 4, 8 ) , radius = 12

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre abd r is the radius

given

x² + 8x + y² - 16y - 64 = 0 ( add 64 to both sides )

x² + 8x + y² - 16y = 64

using the method of completing the square

add ( half the coefficient of the x and y terms)² to both sides

x² + 2(4)x + 16 + y² + 2(- 8)y + 64 = 64 + 16 + 64

(x + 4)² + (y - 8)² = 144 ← in standard form

with centre (- 4, 8 ) and r = [tex]\sqrt{144}[/tex] = 12

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.