There's a right angle that they want you to make a rectangle out of. I'm ignoring that and using each of the five sides to make a triangle with the origin.
A. Five triangles, zero rectangles.
B.
AB=4, the difference of the x coordinates since the y coordinates are the same
AE = 5, the difference in the y coordinates since the x coordinates are the same
C. We'll use the Shoelace Formula, adding up all those triangles I made. A triangle with vertices (0,0), (a,b), (c,d) has signed area A = (1/2)(ad-bc). We go around counterclockwise so they all have positive areas, starting with AE, then ED, DC, CB, BA.
Area = (1/2) ( (-2)(-2) - 3(-2) + (-2)(-4) - (-2)(0) + 0(-2) - (-4)(5) + 5(3) - (-2)(2) + 2(3) - (3)(-2))
Area = 69/2
Answer:
The number of ways to select 2 cards from 52 cards without replacement is 1326.
The number of ways to select 2 cards from 52 cards in case the order is important is 2652.
Step-by-step explanation:
Combinations is a mathematical procedure to compute the number of ways in which <em>k</em> items can be selected from <em>n</em> different items without replacement and irrespective of the order.
Permutation is a mathematical procedure to determine the number of arrangements of <em>k</em> items from <em>n</em> different items respective of the order of arrangement.
In this case we need to select two different cards from a pack of 52 cards.
- Two cards are selected without replacement:
Compute the number of ways to select 2 cards from 52 cards without replacement as follows:
Thus, the number of ways to select 2 cards from 52 cards without replacement is 1326.
- Two cards are selected and the order matters.
Compute the number of ways to select 2 cards from 52 cards in case the order is important as follows:
Thus, the number of ways to select 2 cards from 52 cards in case the order is important is 2652.
Accuracy is how close a measured value is to the actual (true) value.
2x+y=6
3x+5y=9
y = 6 - 2x
3x + 5( 6-2x ) = 9
3x + 30 - 10z = 9
7x = 21
x = 3
y = 6 - 2(3)
y = 0
