Question

Maths question

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Answer 1

ANSWER :

The center is (1,-3) and the radius is r=5 units.

EXPLANATION :

The given equation is:

${x}^{2} + {y}^{2} - 2x + 6y - 15 = 0$

Let rearrange to get:

${x}^{2} - 2x + {y}^{2} + 6y=15$

We complete the square to get;

${x}^{2} - 2x + ( { - 1)}^{2} + {y}^{2} + 6y + {3}^{2} = 15+ ( { - 1)}^{2} + {3}^{2}$

$( {x - 1)}^{2} +( {y + 3)}^{2} = 15 + 1+ 9$

$( {x - 1)}^{2} +( {y + 3)}^{2} =25$

$( {x - 1)}^{2} +( {y + 3)}^{2} = {5}^{2}$

Comparing to

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

The center is (1,-3) and the radius is r=5 units.

Answer 2

Answer:

Step-by-step explanation:

ANSWER :

The center is (1,-3) and the radius is r=5 units.

EXPLANATION :

The given equation is:

Let rearrange to get:

We complete the square to get;

Comparing to

The center is (1,-3) and the radius is r=5 units.