Graphing is one way to do the problem.But sometimes, graphing it is hard to do.So here’s an algebraic method.
If M(m1, m2) is the midpoint of two points A(x1, y1) and B(x2, y2),then m1 = (x1 + x2)/2 and m2 = (y1 + y2)/2.In other words, the x-coordinate of the midpointis the average of the x-coordinates of the two points,and the y-coordinate of the midpointis the average of the y-coordinates of the two points.
Let B have coordinates (x2, y2) in our problem.Then we have that 6 = (2 + x2)/2 and 8 = (3 + y2)/2.
Solving for the coordinates gives x2 = 10, y2 = 13
The sides of the rectangle are aligned with the coordinate axes, so the dimensions of the rectangle are easily determined to be 4 -(-7) = 11 units by 1 -(-1) = 2 units. As with any rectangle, the area is the product of length and width.
The area is 11*2 = 22 square units.
Answer:
x^6 + 2 x^5 - 6 x^4 + 3 x^2 + 6 x - 18
Step-by-step explanation:
f(x) = x^2 +2x-6
g(x) =x^4+3
We want to find f*g
(f*g)(x) = (x^2 +2x-6)(x^4+3)
Distribute
=x^2*x^4 +3x^2 +2x*x^4 +2x*3 +-6x^4 -6*3
= x^6 +3x^ +2x^5 +2x^3 -6x^4 -18
Combine like terms
=x^6 + 2 x^5 - 6 x^4 + 3 x^2 + 6 x - 18
Answer:
Expected Value = -$0.41
Step-by-step explanation:
Expected Value = [$6,200*(1/17000) + $940*(3/17000) + $98*(8/17000) + $25*(10/17000)] - 1
Expected Value = [0.59]-1
Expected Value = -$0.41
