Question

A circle is represented by the equation below:

Answer 1

Answer:

The circle is centered at (5, −7) and has a radius of 7.

Step-by-step explanation:

The standard form of the equation of a circle with center (a,b) and radius r is given as:

$( {x - a)}^{2} + {(y - b)}^{2} = {r}^{2}$

The given equation is

$( {x - 5)}^{2} + {(y + 7)}^{2} = 49$

We rewrite to look like the stay form:

$( {x - 5)}^{2} + {(y - - 7)}^{2} = {7}^{2}$

We now compare the two equations to get:

a=5, b=-7 and r=7.

Therefore the circle is centered at (5,-7) and has a radius of 7

Answer 2

Answer:

The correct  answer option is C. The circle is centered at(5,-7) and has a radius of 7.

Step-by-step explanation: