Identify the center and ydius of each.4x^12−16x+y^2−8y=1

Nann

Nann

Answered question

2021-03-09

Identify the center and ydius of each. 4x216x+y28y=1

Answer & Explanation

Nathalie Redfern

Nathalie Redfern

Skilled2021-03-10Added 99 answers

Write the equation in standard form of a circle with center (h,k) and radius r: (xh)2+(yk)2=r2
Isolate the variable terms and group them: x216x+y28y=1
(x216x)+(y28y)=1
Complete the square:
(x216x+64)+(y28y+16)=1+64+16
(x8)2+(y4)2=81
or
(x8)2+(y4)2=92
So, the center is (8,4) and radius is 9.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-12Added 2605 answers

Answer is given below (on video)

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