In parallelograms, opposite sides are congruent, meaning that they are the same lengths. So, we have:
y - 4x = 9
-x + 4 = y
Add x to both sides of the second equation:
y + x = 4
y - 4x = 9
This is a system of linear equations. Solve by eliminating the y and subtracting the two equations:
5x = -5
x = -1
Use x to solve for y:
y + (-1) = 4
y = 5
So, x = -1 and y = 5.
Answer:
5d+3
Step-by-step explanation:
just as you combine regular numbers you can combine terms that have the same variable raised to the same exponent, and 7d-2d=5d. So the equation simplifies to 5d+3
Answer: There are 80 students.
Step-by-step explanation: 20x4=80
3x4=12
12+80=92
Answer:
-25
Step-by-step explanation:
You can round -98.5 to 100
Then round 3.8 to 4
Negative divided by positive is negative.
-100 ÷ 4 = -25
First of all, we can observe that
So the expression becomes
This means that the expression is defined for every 
Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask
Since we can't accept 3 as an answer, the actual solution set is
![(-\infty,-2] \cup [2,3) \cup (3,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-2%5D%20%5Ccup%20%5B2%2C3%29%20%5Ccup%20%283%2C%5Cinfty%29)
