Answer:
3. One Solution. (0,4). (they have different slopes and y-intercepts)
The solution can be found using elimination method:
Add the equations together
y = -x + 4
y = x - 4
2y = 0
y = 0
Solve for x
0 = x - 4
x = 4
(4, 0)
4. No solution
x + y = -2 and 3 which is not possible
The two lines would be parallel
Answer:
-2
Step-by-step explanation:
Between the first two steps we see ...
Applying the distributive property to the first equation and comparing to the second, we see that ...
The number in the box should be -2.
Answer:
For the 2 the identical flower beds he will require 44 × 2 = 88 ft² of paints to paint the sides of the beds.
Step-by-step explanation:
The prisms are 2 identical flower beds . The dimensions are the same which have a length of 6 ft , height of 2 ft and width of 5 ft. He wants to paints the side of the beds which is the lateral area of the prisms.
Lateral surface area of a rectangular prism is adding the area of the lateral faces of the prism.
Lateral surface area = PH
P = perimeter of the side
H = height
perimeter = (2L + 2W)
where
L = length
W = width
L = 6 ft
W = 5 ft
perimeter = (2L + 2W)
perimeter = (2 × 6 + 2 × 5)
perimeter = (12 + 10)
perimeter = 22 ft
Lateral area = 22 × 2
Lateral area = 44 ft²
For the 2 the identical flower beds he will require 44 × 2 = 88 ft² of paints to paint the sides of the beds.
, which means the 
th partial sum of the series can be written as
, the geometric term vanishes, leaving you with