If a triangle has vertices of 
and 
then the area of the triangle is given by 
Find the area of the triangle with vertices at the given points.(1, -3) (1, 1) (4, 3)
A. 6
B. 2.5
C. 12
D. 5
Answer: A
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Solve the problem.Let M = 
and N = 
. Show that 
where R is the region bounded by the unit circle C centered at the origin. Why is Green's Theorem failing in this case?
What will be an ideal response?
Parallel circuits consist of:
a. Two or more resistors with one point in common b. Two or more resistors with two points in common c. Two or more resistors always conducting the same current d. Two or more resistors with different voltages across the resistors e. Two or more resistors always of the same resistance value
Provide an appropriate response.Perform the multiplication: 4x3(7x)
A. 28x3 B. 28x4 C. 11x3 D. 11x4
Solve the problem.Suppose the government wants to impose a tax on fossil fuels to reduce carbon emissions. The cost benefit is modeled by 
where x represents the dollars of tax per ton of carbon emitted and P represents the percent reduction in emissions of carbon. (P is in decimal form.) Determine P when 
Round to three decimal places.
A. -0.17 B. 1.749 C. -0.246 D. 0.251