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mrens8
21.01.2020 •
Mathematics
Acircle has the equation x2+y2−14x−18y+105=0.
what is the equation of the circle in standard form, the location of its center, and the length of its radius?
the equation of the circle is (x+7)2+(y+9)2=25; the center is at (−7,−9), and the radius is 5 units.
the equation of the circle is (x+7)2+(y+9)2=89; the center is at (−7,−9), and the radius is 89−−√ units.
the equation of the circle is (x−7)2+(y−9)2=415; the center is at (7,9), and the radius is 415−−−√ units.
the equation of the circle is (x−7)2+(y−9)2=25; the center is at (7,9), and the radius is 5 units.
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Ответ:
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
Ответ: