Answer:
The solution for given system of equation is: 
and ordered pair is: 
So, (1,3) is not solution to the given system of equations.
Step-by-step explanation:
we can solve the system of equations to find the value of x and y and then verify if (1,3) is a solution or not.
The system of equation given is:
Solving:
Let:
Put value of y from equation 2 into equation 1
Now, put value of x in equation 2 to find value of y
So, the solution for given system of equation is: and ordered pair is:
So, (1,3) is not solution to the given system of equations.
Answer:
g(x) = -2x - 5
2x becomes -2x as a reflection across the y-axis
add on -5 to shift the function 5 units down
For the law of sines, you would apply it in this particular problem like so:
Since P is 27, its angle is 33 and Q's length is 40; you would set it up like this
<u />40/SinQ = 27/Sin33, multiply 40 with Sin33, then it would be 40Sin33, then divide it by 27. The result should be 40Sin33/27 = X
Answer:
y = 3x - 16
Step-by-step explanation:
We are asked to find the equation of the line perpendicular to 2x + 6y = 30
We can use two formulas for this question, either
y = mx + c. Or
y - y_1 = m(x - x_1)
Step 1: calculate the slope
From the equation given
2x + 6y = 30
Make y the subject of the formula
6y = 30 - 2x
Or
6y = -2x + 30
Divide both sides by 6, to get y
6y/6 = ( -2x + 30)/6
y = (-2x + 30)/6
Separate them in order to get the slope
y = -2x/6 + 30/6
y = -1x/3 + 5
y = -x/3 + 5
Slope = -1/3
Step 2:
Note: if two lines are perpendicular to the other, both are negative reciprocal of each other
Perpendicular slope = 3/1
Substitute the slope into the equation
y = mx + c
y = 3x + c
Step 3: substitute the point into the equation
( 6,2)
x = 6
y = 2
2 = 3(6) + c
2 = 18 + c
Make the c the subject
2 - 18 =c
c = 2 - 18
c = -16
Step 4: sub the value of c into the equation
y = 3x + c
y = 3x - 16
The equation of the line is
y = 3x - 16
If you try out the other formula, u will get the same answer
We can use the substitution method to solve this problem.
The second equation is
, so we can plug in 2x for 'y' in the first equation:
Multiply:
Combine like terms:
This is the x-value of our solution, we can plug this into any of the two equations to find the y-value:
Multiply:
This is the y-value of our solution. So our entire solution is (3, 6).
