a and b are parallel because 114 = 66+48 = 114, these two angles are the same because they are alternate exterior angles, and they couldn't be the same if a and b are not parallel.
Set up the system of equations:
We'll use elimination to solve this system of equations.
Take the coefficients for y in both problems. Multiply one of them by -1:
Since this coefficient is taken from the first problem, we'll multiply the entire second problem by this negative coefficient:
Take the coefficient for y in the second problem and multiply the entire first problem by that coefficient:
Your system should now look like this:
Combine these two equations to cancel out y:
Divide both sides by 5 to get x by itself:
A fairy soda costs $1.50.Because we know the value of one of the variables, we can plug it into one of the equations:
Subtract 12 from both sides:
Divide both sides by 5 to get y by itself:
A fairy hotdog costs $3.75.
Answer: They sold 68 tickets at the door
688-920= -2x= -232
2x=232/2=116
184-116=68
Answer: 16x-25 over 4(4x-5)(2x-3)
Step-by-step explanation:
Given:
A student says that the graph of the equation is the same as the graph of , only translated upwards by 8 units.
To find:
Whether the student is correct or not.
Solution:
Initial equation is
Equation of after transformation is
Now,
...(i)
The translation is defined as
...(ii)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From (i) and (ii), we get
Therefore, the graph of translated left by 8 units. Hence, the student is wrong.