Respuesta :

Answer:

Option B is correct.

Step-by-step explanation:

Give equation of circle,

x² + ( y + 5 )² = 25

x² + ( y + 5 )² = 5²

Standard equation of circle is given by,

( x - h )² + ( y - k )² = r²

here ( h , k ) are the coordinates of the center of the circle.

r  is the radius of the circle.

By comparing with standard equation,

we get

( 0 , -5 ) is coordinate of the center of the circle.

and radius of the circle is 5 unit.

Only graph B has ( 0 , -5 ) center.

Therefore, Option B is correct.

raphealnwobi

The circle has its center at (0, -5) and the radius is 5 units.

What is a circle?

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

The circle equation is:

(x - a)² + (y - b)² = r²

(a, b) is center and r is radius

The circle with an equation:

x² + (y + 5)² = 25

Hence:

x² + (y + 5)² = 5²

The circle has its center at (0, -5) and the radius is 5 units.

Find out more on circle at: https://brainly.com/question/24375372

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