Question

What are the coordinates of the center and the length of the radius of the circle represented by the equation x^2 + y^2 - 4x + 8y + 11 = 0? center (2, -4) and radius 3 center (-2, 4) and radius 3 center (2, -4) and radius 9 center (-2, 4) and radius 9

Name: what are the coordinates of the center and the length of the radius of the circle represented by the equation x2 y2 4x 8y 11 0 center 2 4 and radius 3 center 2 4 and radius 3 center 2 4 and 12293
Uploaded: 2022-05-02T15:43:32-08:00
Duration: 1 min 41 s
Channel: Lauren Shelton
Description: what are the coordinates of the center and the length of the radius of the circle represented by the equation x2 y2 4x 8y 11 0 center 2 4 and radius 3 center 2 4 and radius 3 center 2 4 and 12293

          What are the coordinates of the center and the length of the radius of the circle represented by the equation x^2 + y^2 - 4x + 8y + 11 = 0? 

center (2, -4) and radius 3 
center (-2, 4) and radius 3 
center (2, -4) and radius 9 
center (-2, 4) and radius 9

Added by Michelle M.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Lauren Shelton

05/02/2022

Step 1

The given equation is x^2 + y^2 - 4x + 8y + 11 = 0. To rewrite it in standard form, we need to complete the square for both x and y terms. Rearranging the equation, we have: x^2 - 4x + y^2 + 8y = -11 To complete the square for x, we need to add (4/2)^2 = 4 to Show more…

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What are the coordinates of the center and the length of the radius of the circle represented by the equation x^2 + y^2 - 4x + 8y + 11 = 0? center (2, -4) and radius 3 center (-2, 4) and radius 3 center (2, -4) and radius 9 center (-2, 4) and radius 9