University:
Felician University
Course:
MATH-231 | Geometry I
Academic year:

2023
Views:

229

Pages:

8
Author:

Clint W.

"What did the language professor wear when she went to the beach?" Find the center and the radius for the following circle equations. The answer to each problem will match a letter that will allow you to figure out the joke. 1. x^2 + y^2 = 25 C(0, 0), r = 5 2. x^2 + (y - 3)^2 = 5 C(0, 3), r = √5 3. (x + 2)^2 + (y + 3)^2 = 12 C(-2, -3), r = 2√3 4. 7x^2 + 3y^2 = 49 x^2 + y^2 = 7 C(0, 0), r = √7 5. (x - 1)^2 + (y + 2)^2 = 3 C(1, -2), r = √3 6. x^2 + y^2 + 4x - 7 = 0 See Attached 7. x^2 + y^2 - 6x + 8y + 9 = 0 See Attached 8. x^2 + y^2 - 2y - 1 = 0 C(0, 1), r = √2 9. x^2 + 4x = -y^2 + 2y + 4 x^2 + 4x + 4 = -y^2 + 2y + 4 + 4 (x + 2)^2 = -(y - 1)^2 + 8 C(-2, 1), r = √8 Answer: DIPHTHONG **6)** x^2 + 4x + __ + y^2 = 7 + __ (x + 2)^2 + y^2 = 11 C(-2, 0) r = √11 **7)** x^2 - 6x + __ + y^2 + 8y + __ = -9 + __ + __ (x - 3)^2 + (y + 4)^2 = 16 C(3, -4) r = 4 **8)** x^2 - 2x + __ + y^2 - 6y + __ = -1 + __ + __ (x - 1)^2 + (y - 3)^2 = 9 C(1, 3) r = 3 **9)** x^2 + 4x + __ + y^2 - 2y + __ = 4 + __ + __ (x + 2)^2 + (y - 1)^2 = 9 C(-2, 1) r = 3 "What do you call a prehistoric ghost?" The answer to each problem will match a letter that will allow you to figure out the joke. **Find an equation of each circle whose center is at the origin and which has the given radius.** 1. r = 3 x^2 + y^2 = 9 2. r = 6 x^2 + y^2 = 36 3. r = √2 x^2 + y^2 = 2 **Find an equation of each circle whose center C is given and with the given radius r or with the given point P on the circle.** 4. C(0, 2) and r = 2 x^2 + (y - 2)^2 = 4 5. C(3, 0) and r = 3 (x - 3)^2 + y^2 = 9 6. C(2, 4) and r = 6 (x - 2)^2 + (y - 4)^2 = 36 7. C(3, 1) and P(4, 2) See Attached 8. C(1, 2) and P(1, 1) See Attached 9. C(1, 5) and P(2, 4) See Attached Answer: TERROR Dactyl 7) C(3, 1), r = √58 d = √((-3-4)^2 + (1+2)^2) = √49 + 9 = √58 (x+3)^2 + (y-1)^2 = 58 8) C(2, -3), r = 5 d = √((-2-1)^2 + (-3-1)^2) = √9 + 16 = √25 = 5 (x+2)^2 + (y+3)^2 = 25 9) C(1, 5), r = √90 d = √((1+2)^2 + (5+4)^2) = √9 + 81 = √90 (x-1)^2 + (y-5)^2 = 90