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Answer:
The area of the parallelogram is 55 square unit.
Step-by-step explanation:
The area of a parallelogram is

It is given that the vertices of the parallelogram are P(-2, -5), Q(9, -5), R(1, 5), S(12, 5).
Plot these points on a coordinate plane, and draw a perpendicular on PQ from the point R.
From the graph is clear that length of PQ is 11 and the height of the parallelogram is 10. So, the area of a parallelogram is


Therefore the area of the parallelogram is 55 square unit.
Answer:
square units.
Step-by-step explanation:
We have to use limits to find the area of the region bounded by the graph
, the x-axis, and the vertical lines x=0 and x=1.
So, the area will be
A = 
= ![[4x - \frac{x^{4}}{2} ]^{1} _{0}](https://tex.z-dn.net/?f=%5B4x%20-%20%5Cfrac%7Bx%5E%7B4%7D%7D%7B2%7D%20%5D%5E%7B1%7D%20_%7B0%7D)
= 
=
square units. (Answer)
X - 4 = -4 -4
Combine the two -4.
X - 4 = -8
Add 4 on both sides to isolate the x and get your answer.
X = -4
2 - 3x = -x - 8
Subtract the 2 on both sides.
-3x = -x - 10
Add the x on both sides.
-2x = -10
Divide by -2 on both sides to isolate the x and get your answer.
x = 5
Answer:
The simplified expression is -4x and the value is -516
Step-by-step explanation:
−12x+14x−6x
Combine like terms
2x-6x
-4x
Let x =129
-4*129
-516