Write the equation of a circle with center upper c left-parenthesis 4 comma negative 5 right-parenthesis that passes through upp
er p left-parenthesis 1 comma negative 2 right-parenthesis number .
1 answer:
The square of the distance between C(4, -5) and P(1, -2) is given by the Pythagorean theorem as
(4-1)² +(-5-(-2))² = 18
This is the square of the radius of the circle, so we can use it for r² in the formula
(x -h)² +(y -k)² = r² . . . . . . . circle of radius r and center (h, k)
Your circle has equation ...
(x -4)² +(y +5)² = 18
(4-1)² +(-5-(-2))² = 18
This is the square of the radius of the circle, so we can use it for r² in the formula
(x -h)² +(y -k)² = r² . . . . . . . circle of radius r and center (h, k)
Your circle has equation ...
(x -4)² +(y +5)² = 18
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Answer:
D.
Step-by-step explanation:
Let be . To find the equivalent expression we must use the following property:
(1)
Based on this fact, we find the following equivalence:
Hence, the correct answer is D.