Answer:
r = 3
Step-by-step explanation:
x^2 + 6x + y^2 - 8y = - 16
Take half the linear term and square it.
x^2 + 6x + (3)^2 + y^2 - 8y + (-4)^2 = - 16
Add the squared amounts to the right.
x^2 + 6x + 9 + y^2 - 8y + 16 = - 16 + 9 + 16
Combine on the right.
x^2 + 6x + 9 + y^2 - 8y + 16 = 9
Represent the 2 quadratics as perfect squares.
(x + 3)^2 + y - 4)^2 = 9
The radius is the square root of 9 which is 3
Equation of circle is (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the center and r is the radius.
r^2 = (2 - 3)^2 + (-1 - 4)^2 = (-1)^2 + (-5)^2 = 1 + 25 = 26
Equation is (x - 2)^2 + (y + 1)^2 = 26
Answer:
B
Step-by-step explanation:
the money increases hourly so A and C are wrong. and it is constant so the answer is B
Answer:
12
Step-by-step explanation: if she has 12 pounds lasagna and make 1 pounds she can make 12 pounds for 12 people? hope this help you ;]
Answer: Yes. The area is 1089 square feet.
Step-by-step explanation:
For a square, all the sides are equal: L = W
Hence, the perimeter of a square = 4 × L
Perimeter = 4L
132 = 4L
132 ÷ 4 = L
33 = L = W
Area of a square with 33 feet sides = L × L = 33 × 33 = 1089
1089 > 1000
