(4w-8)+(3w+6)=180
7w-2=180
7w=180+2
7w=182
w=26
The points where the 2 graphs intersect is where x = 0 and x = 2.
- 2 2
x = INT x dA / INT dA
0 0
INT dA = INT -x^2 + 4x + 3 - (x^2 + 3 ) dx = INT -2x^2 + 4x
= -2 x^3/3 + 2x^2
= 2.667 between 0 and 2
xdA = -2x^3 + 4x^2 INT xdA = -x^4/2 + 4x^3/3 = 2.667
centroid = 2.667 / 2.667 = 1 (x = 1)
Parallelograms have equal and parallel opposite sides
<em>The coordinates of the 4th point is (-2,3)</em>
Let the parallelogram be ABCD, such that:



A and B have the same y-coordinates, while their x-coordinates are additive inverse
This means that:
The y-coordinates of point C and point D will be the same, while their x-coordinates will be additive inverse.
<u>For point C</u>
We have:


<u>For point D</u>
The coordinates would be:


Hence, the coordinates of D is (-2,3)
Read more about parallelograms at:
brainly.com/question/9680084
Answer:
6y - 3y - 7 = -2 +3
Simplify both sides:
3y -7 = 1
Add 7 to both sides:
3y = 8
Divide both sides by 3:
y = 8/3 = 2 2/3
There is only one solution.