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There is a relationship between the in the hyperbola's equation and the equations for the hyperbola's asymptotes?
denominators
Which equation shows a linear relationship between the variables stated?
The equation in which the variables appear only to the first power, including in no denominators.
The graph of the equation below is a hyperbola What are the slopes of the hyperbolas asymptotes?
7/12 and 7/12 is the answer
What are the importance of linear equation?
They are the simplest form of relationship between two variables. Non-linear equations are often converted - by transforming variables - to linear equations.
What is the relationship between the hyperbola equation and the equation for the hyperbola asymptotes?
If the equation of a hyperbola is ( x² / a² ) - ( y² / b² ) = 1, then the joint of equation of its Asymptotes is ( x² / a² ) - ( y² / b² ) = 0. Note that these two equations differ only in the constant term. ____________________________________________ Happy To Help ! ____________________________________________
There is a relationship between the in the hyperbola's equation and the equations for the hyperbola's asymptotes?
denominators
Which equation shows a linear relationship between the variables stated?
The equation in which the variables appear only to the first power, including in no denominators.
The graph of the equation below is a hyperbola What are the slopes of the hyperbolas asymptotes?
7/12 and 7/12 is the answer
What makes an equation either inconsistent consistent dependent or independent?
That doesn't apply to "an" equation, but to a set of equations (2 or more). Two equations are:* Inconsistent, if they have no common solution (a set of values, for the variables, that satisfies ALL the equations in the set). * Consistent, if they do. * Dependent, if one equation can be derived from the others. In this case, this equation doesn't provide any extra information. As a simple example, one equation is the same as another equation, multiplying both sides by a constant. * Independent, if this is not the case.
What are the importance of linear equation?
They are the simplest form of relationship between two variables. Non-linear equations are often converted - by transforming variables - to linear equations.
What is the relationship between the energy equation and the Navier-Stokes equations in fluid dynamics?
In fluid dynamics, the energy equation and the Navier-Stokes equations are related because the energy equation describes how energy is transferred within a fluid, while the Navier-Stokes equations govern the motion of the fluid. The energy equation accounts for the effects of viscosity and heat transfer on the fluid flow, which are also considered in the Navier-Stokes equations. Both equations are essential for understanding and predicting the behavior of fluids in various situations.
What happens if you are checking a solution for the radical expression and find that it makes one of the denominators in the expression equal to zero?
Then it is not a solution of the original equation. It is quite common, when solving equations involving radicals, or even when solving equations with fractions, that "extraneous" solutions are added in the converted equation - additional solutions that are not solutions of the original equation. For example, when you multiply both sides of an equation by a factor (x-1), this is valid EXCEPT for the case that x = 1. Therefore, in this example, if x = 1 is a solution of the transformed equation, it may not be a solution to the original equation.
What is Factor-Factorproduct relationship?
The Factor-Factor Product Relationship is a concept in algebra that relates the factors of a quadratic equation to the roots or solutions of the equation. It states that if a quadratic equation can be factored into the form (x - a)(x - b), then the roots of the equation are the values of 'a' and 'b'. This relationship is crucial in solving quadratic equations and understanding the behavior of their roots.
How does writing equivalent equations help you solve a system of equations?
You can write an equivalent equation from a selected equation in the system of equations to isolate a variable. You can then take that variable and substitute it into the other equations. Then you will have a system of equations with one less equation and one less variable and it will be simpler to solve.
What are the benefits of graphical representation of equations?
Graphing an equation allows you to visualize the relationship between variables and predict values of one relative to the other
What is the name of a mathematics equation with two equations?
A simultaneous equation
What is a related equation?
A related equation is a set of equations that all communicate the same relationship between three values, but in different ways. Example: a+b=c a=c-b b=c-a
