Which of the following is an equation of a circle in the xy-plane with center (0, 4) and a radius wi

Q: What is the correct answer for SAT Maths?

The correct answer is A. The standard equation of a circle with center (h, k) and radius r is (x - h)^2 + (y - k)^2 = r^2. Given the center (h, k) = (0, 4), the equation is x^2 + (y - 4)^2 = r^2. To find r^2, we can use the distance formula between the center (0, 4) and the endpoint (4/3, 5) of the radius: r^2 = (x2 - x1)^2 + (y2 - y1)^2 r^2 = (4/3 - 0)^2 + (5 - 4)^2 r^2 = (4/3)^2 + (1)^2 r^2 = 16/9 + 1 r^2 = 16/9 + 9/9 r

Q: Which of the following is an equation of a circle in the xy-plane with center (0, 4) and a radius with endpoint (4/3, 5)?

The correct answer is A. The standard equation of a circle with center (h, k) and radius r is (x - h)^2 + (y - k)^2 = r^2. Given the center (h, k) = (0, 4), the equation is x^2 + (y - 4)^2 = r^2. To find r^2, we can use the distance formula between the center (0, 4) and the endpoint (4/3, 5) of the radius: r^2 = (x2 - x1)^2 + (y2 - y1)^2 r^2 = (4/3 - 0)^2 + (5 - 4)^2 r^2 = (4/3)^2 + (1)^2 r^2 = 16/9 + 1 r^2 = 16/9 + 9/9 r

Q: What are the options for this SAT Maths question?

A. x^2 + (y - 4)^2 = 25/9 · B. x^2 + (y + 4)^2 = 25/9 · C. x^2 + (y - 4)^2 = 5/3 · D. x^2 + (y + 4)^2 = 3/5

Question

Which of the following is an equation of a circle in the xy-plane with center (0, 4) and a radius with endpoint (4/3, 5)?

FirstInTest · Accepted Answer

The standard equation of a circle with center (h, k) and radius r is (x - h)^2 + (y - k)^2 = r^2. Given the center (h, k) = (0, 4), the equation is x^2 + (y - 4)^2 = r^2. To find r^2, we can use the distance formula between the center (0, 4) and the endpoint (4/3, 5) of the radius:
r^2 = (x2 - x1)^2 + (y2 - y1)^2
r^2 = (4/3 - 0)^2 + (5 - 4)^2
r^2 = (4/3)^2 + (1)^2
r^2 = 16/9 + 1
r^2 = 16/9 + 9/9
r^2 = 25/9
So, the equation of the circle is x^2 + (y - 4)^2 = 25/9.

Answer

x^2 + (y - 4)^2 = 25/9

Answer

x^2 + (y + 4)^2 = 25/9

Answer

x^2 + (y - 4)^2 = 5/3

Answer

x^2 + (y + 4)^2 = 3/5

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