1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dsp73
3 years ago
11

How are determinants used to find areas of polygons?

Mathematics
1 answer:
ANTONII [103]3 years ago
4 0
When you arrange the N points in sequence around the polygon (clockwise or counterclockwise), the area is half the magnitude of the sum of the determinants of the points taken pairwise. The N determinants will also include the one involving the last point and the first one.

For example, consider the vertices of a triangle: (1,1), (2,3), (3,-1). Its area can be computed as
  (1/2)*|(1*3-1*2) +(2*-1-3*3) +(3*1-(-1)*1)|
  = (1/2)*|1 -11 +4| = 3

You might be interested in
Will give Brainliest! What is the simplified form of the seventh root of x to the fifth power times the seventh root of x to the
jekas [21]

Answer:

  2) x times the seventh root of x cubed

Step-by-step explanation:

  \displaystyle\sqrt[7]{x^5}\cdot\sqrt[7]{x^5}=\sqrt[7]{x^{5+5}}\\\\=\sqrt[7]{x^{7+3}}=\sqrt[7]{x^7}\cdot\sqrt[7]{x^3}\\\\=x\sqrt[7]{x^3}

4 0
3 years ago
Please help asap. 45 points
Levart [38]
The answer is B. hope that help

5 0
3 years ago
Read 2 more answers
cho tứ giác ABCD. Gọi M,N,P,Q là trung điểm của các cạnh AB, CD, AD, BC. Chứng minh rằng vecto MP = vecto QN, vecto MQ = vecto P
Dmitriy789 [7]

Answer:

Step-by-step explanation:

Xét tam giác DAB có: P là trung điểm AD, M là trung điểm AB

=> MP là đường trung bình của tam giác DAB => MP//BD và MP=\frac{1}{2}BD  (1)

Xét tam giác DBC có: N là trung điểm DC, Q là trung điểm BC

=> QN là đường trung bình của tam giác DBC => QN//BD và QN=\frac{1}{2}BD  (2)

Từ (1) và (2) => vecto MP song song cùng chiều với vecto QN

và độ dài MP = độ dài QN = \frac{1}{2}BD

=> vecto MP = vecto QN

Tương tự xét các tam giác DAC và tam giác ABC => vecto MQ = vecto PN

4 0
3 years ago
Z-49+851=100+21z /////////////////////////////////////////////////
WITCHER [35]

Answer:

z=35.1

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Find the surface area of the composite solid.
Illusion [34]

The ends of the rectangle = 10*10*2 = 200

The long sides and bottom of the rectangle = 12*10*3 = 360

Vertical end of the triangle = 5*10 = 50

The sides of the triangle = 12*5*1/2*2 = 60

Triangle slope = 13*10 = 130

Total = 200 + 360 + 50 + 60 + 130 =

800 in sq

7 0
3 years ago
Read 2 more answers
Other questions:
  • A rectangular plot of ground is 10 meters longer than it is wide. Its area is 20,000 square meters. What equation will help me f
    11·2 answers
  • Developed nations make up about percent of the world s population and consume about percent of its resources.
    8·1 answer
  • What is the system of elimination for y= -3x+5 y= -8x+25
    9·2 answers
  • An inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects prior to usi
    14·1 answer
  • Find the coefficient of the 'x' term when multiply: (x-7)(x+3)
    10·1 answer
  • First come first serve<br> 1+1 equals what <br> you will get 40 points
    11·1 answer
  • 9/10(x+2/3)=4 1/2<br><br> What is x in this equation
    14·1 answer
  • Hello ! does anyone know how I could get x and y from this equation :
    10·1 answer
  • Can someone please give me the answers to all three I will be marking u brilliant
    15·2 answers
  • I need help with this please and thank you
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!