Which ordered pair is a solution to the system of linear equations? 2x 3y= 6 –3x 5y = 10 (0,2) (2,0) (3,2) (2,3)
1 answer:
An equation is formed of two equal expressions. The ordered pair which is the solution of the system of linear equations is (0,2).
<h3>What is an equation?</h3>An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of the equation can be done in the following manner.
2x+3y=6
3x+5y=10
Let's take the first equation and find write it in terms of y. therefore, the first equation can be written as,
Now, substitute the value of x in the second equation,
Thus, the value of y is 2. substituting the value of y in the first equation to get the value of x.
Hence, the ordered pair which is the solution of the system of linear equations is (0,2).
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Answer: option C
Step-by-step explanation:
The diagram of the triangle is shown in the attached photo. The triangle is a right angle triangle ABC
Assuming the given angle is #,
Recalling the trigonometric ratio,
tan # = opposite / adjacent
If tan # = 4, it means
opposite / adjacent = 4/1
Therefore, opposite = 4 and adjacent = 1
Applying Pythagoras theorem,
Hypotenuse^2 = opposite ^2 + adjacent ^2
Hypotenuse = AC
Opposite = 4
Adjacent = 1
AC^2 = 4^2 + 1^2 = 17
AC = ± √17
To determine cos #, we would apply another trigonometric ratio,
Cos# = adjacent /hypotenuse
Cos# = 1/±√17
Cos # =-1 /√17 or 1/√17
