primesonic11
Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.


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

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.