Title: Fifth Partial Exam
Course: 2025 Probabilidad y Estadística

Q: Find the center and radius of the circle with the equation of [Image]

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- center ( 2, 0 ), radius 4 (Incorrect)
- center ( -2, 0 ), radius 4 (Incorrect)
- center ( -2, 0 ), radius 2 (Correct)
- center ( 0, [Image]2 ), radius 4 (Incorrect)
- center ( -2, 0 ), radius 5 (Incorrect)
A: center ( -2, 0 ), radius 2

Q: Find the center and radius of the circle for the equation of [Image]

​
- center (-1, -1), radius 4 (Incorrect)
- center (-1, 1), radius 2 (Incorrect)
- center (-1, 0), radius 2 (Incorrect)
- center (1, -1), radius 4 (Incorrect)
- center (1, 1), radius 2 (Correct)
A: center (1, 1), radius 2

Q: Find the center and radius of the circle with the equation [Image]

​
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
A: [Image]

Q: Determine the graph of the equation [Image]

​
- [Image] (Incorrect)
- ​ [Image] (Correct)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
A: ​ [Image]

Q: The endpoints of a diameter of a circle are P(1, 4) and Q(4, 7). Find the equation of the circle.

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- [Image] (Incorrect)
- [Image] (Incorrect)
- ​ [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
A: [Image]

Q: Find an equation of the circle with the center at (-3, 4) and a radius of 1.

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- \( (x-3)^2+(y+4)^2=1 \) (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
- ​ [Image] (Incorrect)
- [Image] (Incorrect)
A: [Image]

Q: Find the equation of the circle with center [Image] and radius [Image].

​
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
- [Image] (Incorrect)
- [Image] (Incorrect)
A: [Image]

Q: Find the equation of the circle with center [Image] and tangent to the x - axis.

​
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
- [Image] (Incorrect)
- [Image] (Incorrect)
A: [Image]

Q: A circumference has its center in the intersection point of the lines 2x+3y-5=0 and 4x+7y-8=0. If (\( \frac{1}{2},10)\) is a point on it, determine the length of the radius.

Type the numerical value only, do not add units to it.
A: 13
Feedback ("13"): Awesome!!!!

Q: If a circumference has its center at (3,-10) and is tangent to 4x-5y-6=0, determine the perimeter of the circumference. Round your answer to the nearest hundreth.
A: 54.95 / 54.96