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In Mathematics / College | 2025-07-05

Complete the square and write the equation of the circle in standard form. Then find the center and radius of the circle and graph the equation.

[tex]x^2+y^2+9 x-10 y-5=0[/tex]

The equation in standard form is [tex]\left(x+\frac{9}{2}\right)^2+(y-5)^2=\frac{201}{4}[/tex]. (Simplify your answer.)
The center is [tex]\left(-\frac{9}{2}, 5\right)[/tex]. (Type an ordered pair. Simplify your answer.)
The radius is [tex]$\frac{\sqrt{201}}{2}[/tex]. (Simplify your answer.)
Choose the correct graph of the circle.
A.
B.
C.
D.

Asked by faizasafi09

Answer (2)

See attached ;

Answered by sqdancefan | 2025-07-16

The standard form of the circle's equation is ( x + 2 9 ​ ) 2 + ( y − 5 ) 2 = 4 201 ​ , with the center at ( − 2 9 ​ , 5 ) and radius 2 201 ​ ​ . Use this information to find and select the correct graph from your options.
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Answered by sqdancefan | 2025-07-17