Answer:
(2, -3) and r = 3.
Step-by-step explanation:
you can also plug this equation in desmos but I guess it's good to know how to do it also:
The equation of a circle is (x-h)^2 + (y-k)^2 = r^2
Now in order to make a perfect square on both sides, we need to do this:
First add 9 to both sides:
x^2 + 6x + 9 + y^2 -4y +4 = 9.
I purposely shifted it to show the perfect square created when you add 9 to both sides. Factor:
(x+3)^2 + y^2 - 4y + 4 = 9.
now the second bolded part is allso a perfect square. Factor:
(x+3)^2 + (y-2)^2 = 9
Based on the equation of a circle, the center must be at (2, -3) and the radius is the square root of 9 which is 3.
:)
B. -6x +11y = 13 that's the answer to your test
Answer:
Just calculate it. It is very easy.
Answer:
12 Years
Step-by-step explanation:
Simple interest is calculated as I = Prt, where P is the principal (amount of money invested), r = rate of interest written as decimal, and t = time
The amount started as P and incresed by Prt, so
P + Prt = 1007.78
616 + (616)(0.053)t = 1007.78
Now you need to solve for t:
Subtract 616 from both sides and simplify:
32.648t = 391.78
Divide both sides by 32.648:
t = 12
Answer: 12 years
