Part 4: Use the information provided to write the standard form equation of each equation

10. (x + 5)^2 + y^2 = 25
Translated 3 up

11. x^2 + y^2 - 16x - 30y + 280 = 0

12. x^2 + y^2 + 12x - 22y + 137 = 0

Problem 10

Work Shown:

All we're doing really is replacing the original 'y' with 'y-3' to shift the center up 3 units. This shifts every point on the circle the same as well.

This new circle has center (-5,3) and radius 5. The old center was (-5,0). The radius stayed the same.

Problem 11

Work Shown:

x^2+y^2-16x-30y+280 = 0

(x^2-16x)+(y^2-30y)+280 = 0

(x^2-16x+64)-64+(y^2-30y+225)-225+280 = 0

(x-8)^2+(y-15)^2-9 = 0

(x-8)^2+(y-15)^2 = 9

This circle has center (8,15) and radius 3.

Problem 12

Work Shown:

x^2+y^2+12x-22y+137 = 0

(x^2+12x)+(y^2-22y)+137 = 0

(x^2+12x+36)-36+(y^2-22y+121)-121+137 = 0

(x+6)^2+(y-11)^2-20 = 0

(x+6)^2+(y-11)^2 = 20

This circle has center (-6,11) and radius sqrt(20) = 2*sqrt(5).

10. (x + 5)² + (y - 3)² = 25

11. (x - 8)² + (y - 15)² = 9

12. (x + 6)² + (y - 11)² = 20

Step-by-step explanation:

10. (x + 5)^2 + y^2 = 25

Centre: (-5,0)

Translated 3 up

Centre: (-5,3)

(x + 5)² + (y - 3)² = 25

11. x^2 + y^2 - 16x - 30y + 280 = 0

h = -16/-2 = 8

k = -30/-2 = 15

8² + 15² - 280 = r²

r² = 9

(x - 8)² + (y - 15)² = 9

12. x^2 + y^2 + 12x - 22y + 137 = 0

h = 12/-2 = -6

k = -22/-2 = 11

(-6)² + 11² - 137 = r²

r² = 20

(x - (-6))² + (y - 11)² = 20

(x + 6)² + (y - 11)² = 20

justin bieber ml.

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.