Move −20-20 to the right side of the equation because it does not contain a variable.−9y+4x=20-9y+4x=20−7y+16x−80=0-7y+16x-80=0Move −80-80 to the right side of the equation because it does not contain a variable.−9y+4x=20-9y+4x=20−7y+16x=80-7y+16x=80Write the system of equations in matrix form.[4−92016−780][4-92016-780]Find the reduced row echelon form of the matrix.Tap for more steps...[105010][105010]Use the result matrix to declare the final solutions to the system of equations.x=5x=5y=0y=0The solution is the set of ordered pairs that makes the system true.(5,0)(5,0)Decompose a solution vector by re-arranging each equation represented in the row-reduced form of the augmented matrix by solving for the dependent variable in each row yields the vector equality.X=[xy]=[50]
Answer:
See below (along with unit circle attached)
Step-by-step explanation:
It really helps to use the unit circle! I've attached it below for your convenience. Keep in mind that a point on the unit circle is defined by 
where 
is measured in radians.
Step-by-step explanation:
There are always two types of relationships between two quantities. Either the relationship is Directly proportional or it would be Indirectly proportional. Directly proportional is a relation in which one quantity increases with the increase of the other quantity and vice versa. Whereas in indirectly proportional relationship, one quantity decreases with the increase of the other quantity and vice versa.
Now in this question, the given quantities are Distance traveled by a car and the amount of gas in the car. These two quantities have indirect proportional relationship. When the Distance traveled by the car increases, the amount of gas in the car decreases and vice versa.
Answer:
$184383.7
Step-by-step explanation:
Using the formula :
V = Pe^rt
Principal, P = 85,800
Rate of interest, r = 8.5% = 0.085
Time = 9
V = 85800 * e^(0.085*9)
V = 85800 * e^0.765
V = 85800 * 2.1489943
V = 184383.71
V = $184,383.7
