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Makovka662 [10]
3 years ago
10

How can I prove Euler's formula graphically?

Mathematics
2 answers:
lawyer [7]3 years ago
5 0

Answer:

We can now prove Euler's formula (v − e + f = 2) works in general, for any connected simple planar graph. Proof: by induction on the number of edges in the graph. Base: If e = 0, the graph consists of a single vertex with a single region surrounding it. So we have 1 − 0 + 1 = 2 which is clearly right.

slamgirl [31]3 years ago
4 0
Don’t know sorry o don’t understand ur question
You might be interested in
A driveway 18 ft wide and 36 ft. long is to be paved with concrete 3 in. thick. How many cubic yards of concrete are required?
amm1812

Answer:

6 yds^3

Step-by-step explanation:

I find these easiest if you put all of the dimensions into yards and then multiply

18 ft =  6 yds

36 ft = 12 yds

3 in = 3/36 yds    = 1/12 yds     now multiply them together

6 x 12 x 1/12 = 6 yds^3

8 0
2 years ago
Someone can help me with this please​
Marina CMI [18]

Answer:

x = -1 and x = 7

Step-by-step explanation:

2x^2 + 2x - 14x - 14

2x^2 - 12x -14

Divide through by 2 to simplify the expression

x^2 - 6x - 7

x^2 - 6x -7

Now, let's think of two numbers that when added up gives -6 and when multiplied gives -7

Yes! It's -7 and +1

-7 + 1 = -6 , and -7* 1 = -7

Now, lets substitute these numbers in the expression

x^2 -7x + x - 7

factorize

x(x - 7) + 1(x - 7)

(x + 1) (x - 7)

Now equate to zero

(x + 1) (x - 7) = 0

x + 1 = 0

subtract 1 from both sides

x +1 - 1 = 0 -1

x = -1

Also,

x - 7 = 0

Add 7 to both sides

x -7 + 7 = 0 + 7

x = 7

Hence, x = -1 and x =7

6 0
3 years ago
8.9 x 10^-10 in standard form
Harlamova29_29 [7]

Answer:

science E-notation: 8.900e-10

Engineering Notation: 890.0x-12

real number: 8.9E-10

-.-

Step-by-step explanation:

6 0
4 years ago
Score Frequency
RUDIKE [14]

Scores on an AP Exam at a local high school are recorded in the table. What was the average score?

Answer: D) 4.266 is correct

Explanation:

We are given the below frequency table:

Score Frequency

1         |         0

2        |         3

3        |         4

4        |        16

5        |       22

Let's denote the score by x and frequency by f.

The average formula is:

Average=\frac{\sum fx}{\sum f}

                    =\frac{(1\times0) + (2\times3)+(3\times4) +(4\times16) + (5\times22)}{0+3+4+16+22}

                    =\frac{0+6+12+64+110}{45}

                    =\frac{192}{45}=4.267

Therefore, the average score was 4.267

Hence the option D) 4.266

7 0
4 years ago
Each letter represents a question answer
evablogger [386]

A. 2x+3x-6=10+4x

5x-6=10+4x

5x=16+4x

X=16

5 0
3 years ago
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