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Ronch [10]
3 years ago
6

A circle has the equation x2+y2−14x−18y+105=0.

Mathematics
1 answer:
kolezko [41]3 years ago
8 0

Answer:

The answer to your question is the last option

Equation in standard form =   (x - 7)² + (y - 9)² = 5²  

Center = (7, 9)

Radius = 5

Step-by-step explanation:

Equation

                         x² + y² - 14x - 18y + 105 = 0

- Grouping property

                       (x² - 14x      )  + (y² - 18y       )   = -105

- Complete perfect square trinomials

                       (x² - 14x + 7²) + ( y² - 18y + 9²) = -105 + 49 + 81

- Factor

                       (x - 7)² + (y - 9)² = 25

or                     (x - 7)² + (y - 9)² = 5²  

Center = (7, 9)

Radius = 5

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