Let g(x,y) be the midpoint of the segment ef;
So, x = (4+1)/2; then x = 5/2;
y = (-4+7)/2; then y = 3/2;
Finally, g(5/2,3/2).
Use the FOIL method
First 4x × -2x = -8x^2
Outside 4x × -5 = -20x
Inside 3 × -2x = -6x
Last 3 × -5 = -15
-8x^2 - 20x - 6x -15 =
Combine like terms
-8x^2 -26x -15
Answer:
y = 40°
Step-by-step explanation:
The triangle in the picture is an isosceles triangle because of the markings on the side (they show that two sides are congruent).
An isosceles triangle not only have a pair of congruent sides, but also have a pair of congruent angles.
So,
5x = 40
Solve for x,
x = 40 ÷ 5
x = 8
5x = 40
5(8) = 40
40 = 40
Now we know the two angles. We then find the last angle containing y.
We know that the total angle measurement of the triangle is 180°.
Set up the equation,
40 + 40 + 2y + 20 = 180
Solve for y,
80 + 2y + 20 = 180
100 + 2y = 180
2y = 180 - 100
2y = 80
y = 80 ÷ 2
y = 40°
Answer:
Multiply both sides by 
Step-by-step explanation:
Given
Required
Get an equivalent of 
To do this, we simply multiply through by
The NPV is positive, therefore, this order can be placed.
<h3>How to calculate the NPV?</h3>
The calculation of probability of default will be:
= 1 / 200 = 0.005
We use NPV formula to find out whether the order should be filled or not
NPV = -Variable cost per unit +[(1-π)(price of equipment/1+percentage of return)]
= -$1.6 million +[(1-0.005)($1.725m/1.018)]
= -$1.6m + $1.6860
= 0.0860 million
As NPV is positive this order can be placed.
Learn more about NPV on:
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