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.
:)
Answer:
8 14/15
Step-by-step explanation:
Step 1:
2 1/3 + 6 3/5
Step 2:
2 5/15 + 6 9/15
Answer:
8 14/15
Hope This Helps :)
The solution to the system of equation is
(- 3,5,6)
Answer:
1
Step-by-step explanation:
To simplify this, we can use foil:
- First: -2 × - 2 = 4
- Outside: -2 × √3 = -2√3
- Inside: -√3 × -2 = +2√3
- Last: -√3 × √3 = -3
From this, we get 4 - 2√3 + 2√3 - 3 which can be simplified to 1
Hope this helps!
Answer:
C: 12
Step-by-step explanation:
1/4 and 5/6 have a common denominator
List the multiples of each number
4: 4,8,12,16,20
6: 6,12,18
The first number they both go into is 12
