Answer:
2 units
Step-by-step explanation:
the radius is always half the diameter
d = 2r
B. 3x-1 is the answer.
Hope this helps and good luck. :)
Answer:
The answer to your question is Center = (3 , -1), radius = 3
Step-by-step explanation:
Equation
x² - 6x + y² + 2y = -1
-Process
1.- Leave a space between the like terms
x² - 6x + y² + 2y = -1
2.- Divide the middle term of each group by 2 and write the result to the power of 2 in both sides of the equation.
x² - 6x + (3)² + y² + 2y + (1)² = -1 + 3² + 1²
3.- Simplification
x² - 6x + 9 + y² + 2y + 1 = -1 + 9 + 1
4.- Factor
(x - 3)² + (y + 1)² = 9
5.- Find the center and the radius
Center = (3 , -1)
Radius = √9 = 3
Equations are found everywhere in mathematics. Students of middle school are introduced by the equations in algebra. Analgebraic equation<span> is a combination of one or more terms separated with "</span>equal<span>" symbol </span>"=". The terms are the expressions or monomials made up of constants and variables. The terms can be numerical, alpha numerical, expression etc. The terms are connected with one another with the help of addition (+) or subtraction (-) symbols.
<span>For example -
(1)</span><span> x + 2 = -3</span>
(2) <span><span>2<span>a3</span>−2<span>a2</span></span><span>2<span>a3</span>−2<span>a2</span></span></span>b+ab+2 = 7
(3)<span> 3 x - 1 = x + 2</span>
There are different types of equations, such as - linear equations in one and two variables, logarithmic equations, exponential equations, fractional equations, polynomial equations etc. Equations represent the relationship between variables. There may be one or more variables in an equation.
<span>By solving equations, we mean to find all the possible values of one or more variables contained in it. Equations can be solved either algebraically or graphically. There are various algebraic methods that can be utilized in order to get the solution of an equation. The choice of these methods may depend upon the types of equation. In order to find the values of all the variables in the equation, we need as many number of same types of equations as the total number of variables. </span>For example -<span> An equation 2 x + y = 1 needs one more equation of same type (such as x + y = 7), since it has two variables x and y. Equations are also used to solve word problems in many areas. Let us understand about equations in detail in this page below.</span>
