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Llana [10]
4 years ago
12

How can the Distance and Midpoint Formulas be used to identify specfic polygons? For example, how could you show that a quadrila

teral is a rectangle?
Mathematics
1 answer:
kiruha [24]4 years ago
7 0
In analytical geometry, the distance formula is used to find the distance between lines, points, or between a line and a point. If you want to know what specific polygon the coordinates of the points makes, then you are going to use the distance formula for points. The equation is 

d = √[(x₂-x₁)²+(y₂-y₁)²]

where x₁ & y₁ and x₂ & y₂ are coordinates of points 1 and 2

Now, you have to draw the coordinates on the Cartesian plane first. Then, identify two adjacent points and find the distance using the given formula. Do this for all pair of adjacent points. If you get two sets of equal lengths, then that polygon is a rectangle. Because by definition, a rectangle is a quadrilateral having two pairs of parallel and equal side lengths.
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Let us denote by P the set of all people, by S the set of people who are single, by C the set of people who have children, by W
natita [175]

Solution :

Given :

The events are as follows :

P : Set of all the people

S : Set of people those who are single

C : Set of people having children

W : Set of women

M : Set of men

a). Now set of married women having children is given by :

$\left( (P-S)-M \right) \cap C $

And set of single women who do not have any children : (S -C) - M

Thus the set of women those who are either married and have children or they are single and they do not have any children is represented by :

$\left( (S-C)-M\right) \cup \left( ((P-S)-M) \cap C \right) $

b). Set of Married men : $\left( (P-S) \cap M$

   Set of Married men : $\left( (P-S) \cap W$

   Set of all possible married who are heterosexual couples, that is, all possible pairings of the married men and the married women is represented by :

   $((P-S) \cap M) \cap ((P-S) \cap W )$

c). The number of all the possible married heterosexual couples will be represented by the cardinality of the above set, which represents the number of the elements in the set.

Thus the number of the married heterosexual couples is given by :

$n[((P-S) \cap M) \cap ((P-S) \cap W)]$

8 0
3 years ago
Zach got 3 questions wrong on a 40 question test. What percent of the test did he get correct
adelina 88 [10]
0.03 x 40... or its either the other way around like 0.02 x 40 lol
6 0
3 years ago
Read 2 more answers
The cost of 4 kilograms of cheese is 50 dollars. which equation shows this in function notation?
Xelga [282]
$50 corresponds to 4 kg That means there must be a number that when you multiply by 4 you get 50. Let that number be k. k is the price of cheese per kg. 1 kg: y = k * 1 2 kg: y = k * 2
8 0
3 years ago
Which ones greater 8 inches or 8 feet
Gre4nikov [31]

Answer:

8 feet

12 inches equals 1 foot, so 8 inches is a lot smaller than 8 feet.

4 0
3 years ago
Read 2 more answers
Which ordered pair maximizes the objective function p = 3x 8y? (0, 0) (2, 7) (5, 6) (8, 1)
Degger [83]

The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6) .Option C is correct.

<h3>What is the objective function?</h3>

The objective function is simply an equation that represents the goal production capability that relates to maximizing profits in relation to manufacturing.

On putting the values we will get the values one by one. We get;

1. (0, 0)

3 (0)+8(0) = 0

2. (2,7)

3(2)+8(7)=62

3. (5,6)

3(5)+8(6)=63

4. (8,1)

3(8)+8(1)=42

The maximum value obtained from the 63. Obtained from option C. The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6)

Hence option C is correct.

To learn more about the objective function refer to the link;

brainly.com/question/15830007

4 0
3 years ago
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