Answer:
see below
Step-by-step explanation:
6. 


±
Solution: 
Points of intersection: (2, -3) and (-2, -3)
7. 




Solution: 
Point of intersection is (5, -1)
If you would like to know how many gallons of paint will Henry need to paint his living room, you can calculate this using the following steps:
the ceiling: 24 ft * 18 ft = 432 ft squared
walls: 2 * 24 ft * 9 ft + 2 * 18 ft * 9 ft = 2 * 24 * 9 + 2 * 18 * 9 = 432 + 324 = 756 ft squared
432 ft squared + 756 ft squared = 1188 ft squared
1 gallon of paint ... 450 ft squared
x gallons of paint = ? ... 1188 ft squared
1 * 1188 = 450 * x
1188 = 450 * x /450
x = 1188 / 450
x = 2.64 gallons of paint
The correct result would be 2.64 gallons of paint.
4 square units.
The easiest way to find this is by looking at the triangle as if NL was the base. In this case PM would be the height. Since a triangle is the same shape even when we move it or rotate it, this is a common strategy to finding areas when the direction is tough for us.
Now that we have this we can measure the lengths of the base and height and use them in the triangle area formula.
Base = 4
Height = 2
Area of a triangle = 1/2bh
Area of a triangle = 1/2(4)(2)
Area of a triangle = 2(2)
Area of a triangle = 4