Fifty students were eating lunch in the school cafeteria. The ratio of boys to girls was 25:25. Mrs. White asked Kym to explain
2 answers:
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Answer:
Step-by-step explanation:
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Answer:
k = 9
Step-by-step explanation:
Given
Required
The perfect number
The coefficient c of x in the above equation is:
Divide by 2
Square both sides
Hence, the constant to add is:
Answer:
No, the clay will not pour out easily. I know this because the angle of the truck bed is less than 50°, which is the minimum angle for easy pouring.
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
If α represents the angle of the truck bed, this means ...
sin(α) = 9/15
We can find α using the inverse sine function:
α = arcsin(9/15) ≈ 36.87°
We note this angle is less than 50° so we expect the clay will not pour out easily.
Answer:
In mathematics and linear algebra, a system of linear equations, also known as a linear system of equations or simply a linear system, is a set of linear equations (that is, a system of equations in which each equation is first degree).
An example of a linear system of equations would be the following:
Methods of solving systems of linear equations
Solve a system of linear equations is to find all their solutions.
The methods of equalization, substitution and reduction consist of finding and solving, for each of the unknowns, an equation with that unknown and with no other.
Substitution method
The substitution method consists in clearing one of the equations with any unknown, preferably the one with the lowest coefficient, and then substitute it in another equation for its value.
In case of systems with more than two unknowns, the selected one must be replaced by its equivalent value in all the equations except the one we have cleared it. At that moment, we will have a system with an equation and an unknown less than the initial one, in which we can continue applying this method repeatedly.
Equalization method
The equalization method can be understood as a particular case of the substitution method in which the same incognita is solved in two equations and then the right part of both equations are equated with each other.
Reduction method
This method is mostly used in linear systems, with few cases in which it is used to solve non-linear systems. The procedure, designed for systems with two equations and unknowns, consists of transforming one of the equations (generally, by products), so that we obtain two equations in which the same unknown appears with the same coefficient and different sign. Next, both equations are added, thus producing the reduction or cancellation of said unknown, thus obtaining an equation with a single unknown, where the resolution method is simple.