Answer:
The center is at (-3, -2) and the radius = 1.
Step-by-step explanation:
We can do this by converting the given equation to standard form.
x^2+6x+y^2+4y+12=0
x^2+6x+y^2+4y = -12
Completing the square on the x and y terms:
(x + 3)^2 - 9 + (y + 2)^2 - 4 = -12
(x + 3)^2 + ( y + 2)^2 = -12 + 9 + 4
(x + 3)^2 + ( y + 2)^2 = 1
So the center is (-3, -2) and the radius = 1.
Answer:
c = -24
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
<u />
Step-by-step explanation:
<u>Step 1: Define</u>
6c - 1 - 4c = -49
<u>Step 2: Solve for </u><em><u>c</u></em>
- Combine like terms: 2c - 1 = -49
- Isolate <em>c</em> term: 2c = -48
- Isolate <em>c</em>: c = -24
Answer:
290 centimetres
Step-by-step explanation:
The ratio of the length of the pieces of wood is 6 : 10 : 12.
We have to find the total ratio first:
6 + 10 + 12 = 28
The longer piece of wood has ratio 10.
The length of the original wooden plank is 812 centimetres, therefore, the length of the longer piece of wood is:
10/28 * 812 = 290 centimetres
If you expand, the answer is -12+2x
