Answer:
Area of triangle = 15 square units
Step-by-step explanation:
We need to find area of the triangle, given the vertices:
A=(4,0)
B=(1,5)
C=(7,5)
The formula used is: 
We have: 
Putting values and finding area

We will be ignoring negative sign, because area of triangle is positive.
So, Area of triangle = 15
Answer:
yes
Step-by-step explanation:
Answer: a) c(x) = 0.124x + 1.1, b) 13 units
Step-by-step explanation: Revenue function = R(x) = 0.21x
Profit function = p(x) = 0.086 - 1.1
Cost function = c(x) =?
A)
Recall that profit = total revenue - total cost
Hence, total cost = total revenue - profit
c(x) = 0.21x - (0.086x - 1.1)
c(x) = 0.21x - 0.086x + 1.1
c(x) = 0.124x + 1.1
B)
Break even point is the point where total revenue equals total cost
R(x) = c(x)
0.21x = 0.124x + 1.1
0.21x - 0.124x = 1.1
0.086x = 1.1
x = 1.1/0.086
x = 12.79 which is approximately 13 units
Answer:
Its b.
Step-by-step explanation:
m < 3 = m < 4 (vertical angles)
m < 1 = m < 5 ( alternate angles)
Therefore the triangles are similar.