Find the geometric mean between: 1.4 and 9 2.3 and 6 3.6 and 20 4.15 and 20 Geometric Mean x is the...

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Find the geometric mean between: 1. 4 and 9 2. 3 and 6 3. 6 and 20 4. 15 and 20 Geometric Mean x is the geometric mean between a and b. a x x b = Similarity 8 Warmup

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Transcript of Find the geometric mean between: 1.4 and 9 2.3 and 6 3.6 and 20 4.15 and 20 Geometric Mean x is the...

Page 1: Find the geometric mean between: 1.4 and 9 2.3 and 6 3.6 and 20 4.15 and 20 Geometric Mean x is the geometric mean between a and b. a x x b = Similarity.

Find the geometric

mean between:

1. 4 and 92. 3 and 63. 6 and 204. 15 and 20

Geometric Mean

x is the geometric mean between a and

b.

a xx b

=

Similarity 8 Warmup

Page 2: Find the geometric mean between: 1.4 and 9 2.3 and 6 3.6 and 20 4.15 and 20 Geometric Mean x is the geometric mean between a and b. a x x b = Similarity.

4 and 9

9x

x4

x2 = 36

x = 6

Page 3: Find the geometric mean between: 1.4 and 9 2.3 and 6 3.6 and 20 4.15 and 20 Geometric Mean x is the geometric mean between a and b. a x x b = Similarity.

3 and 6

6x

x3

x2 = 1829x

23x x 4.2

Page 4: Find the geometric mean between: 1.4 and 9 2.3 and 6 3.6 and 20 4.15 and 20 Geometric Mean x is the geometric mean between a and b. a x x b = Similarity.

6 and 20

20x

x6

x2 = 120304x

302x x 11.0

Page 5: Find the geometric mean between: 1.4 and 9 2.3 and 6 3.6 and 20 4.15 and 20 Geometric Mean x is the geometric mean between a and b. a x x b = Similarity.

15 and 20

20x

x15

x2 = 3003100x

210x x 14.1

Page 6: Find the geometric mean between: 1.4 and 9 2.3 and 6 3.6 and 20 4.15 and 20 Geometric Mean x is the geometric mean between a and b. a x x b = Similarity.
Page 7: Find the geometric mean between: 1.4 and 9 2.3 and 6 3.6 and 20 4.15 and 20 Geometric Mean x is the geometric mean between a and b. a x x b = Similarity.

A

C DE

A

C E

mediumA

C D

largeA

DE

small

h

k

r

g

mr

m h

g + k

h

k

r

kr

rg

g

m

gm

mgk

kh

hkg

orHeartbeat Rabbit

Page 8: Find the geometric mean between: 1.4 and 9 2.3 and 6 3.6 and 20 4.15 and 20 Geometric Mean x is the geometric mean between a and b. a x x b = Similarity.

Continue for practice problems

Page 9: Find the geometric mean between: 1.4 and 9 2.3 and 6 3.6 and 20 4.15 and 20 Geometric Mean x is the geometric mean between a and b. a x x b = Similarity.

x

y

3

4

D

A B

C

4y

y3

y2 = 1212y

34y 32y

4x

x7

x2 = 2828x 72x

5.3y 3.5x

Page 10: Find the geometric mean between: 1.4 and 9 2.3 and 6 3.6 and 20 4.15 and 20 Geometric Mean x is the geometric mean between a and b. a x x b = Similarity.

6y

y12

y2 = 72 72y

236y 26y

26

xx18

x2 152.73152.73x

36.12x

5.8y

Page 11: Find the geometric mean between: 1.4 and 9 2.3 and 6 3.6 and 20 4.15 and 20 Geometric Mean x is the geometric mean between a and b. a x x b = Similarity.

x2

24

4x = 4 1x

4y

y5

y2 = 20

5*4x

52x 5.4x

Page 12: Find the geometric mean between: 1.4 and 9 2.3 and 6 3.6 and 20 4.15 and 20 Geometric Mean x is the geometric mean between a and b. a x x b = Similarity.

x10

1020

20x = 1005x

15y

y5

y2 = 75

325y

35y

20

10

x

y

7.8y


A differential geometric approach to the geometric mean …cis610/geomean.pdf · a differential geometric approach to the geometric mean of symmetric positive-definite matrices∗

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 · 2017-02-02 · You've Got Problems! 1) Find the 3 geometric means between 3 and 48 119 Mean Proportional or Geometric Mean m = geometric mean between a and b — a single mean

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Ramanujan’s Arithmetic-Geometric Mean Continued Fractions … · 2004-08-13 · Ramanujan’s Arithmetic-Geometric Mean Continued Fractions and Dynamics Jonathan M. Borwein, Canada

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eSolutions Manual - Powered by Cognero Page 1 · Find the geometric mean between each pair of numbers. 5 and 20 62/87,21 By the definition, the geometric mean x of any two numbers

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8-1 Geometric Mean - Check Your Understandingphsmath.pbworks.com/w/file/fetch/101819065/Chapter 8 - 8-1...8-1 Geometric Mean - Check Your ... 8-1 Geometric Mean - Practice and Problem

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geometric mean - arxiv.orgof geometric mean for two positive numbers to the case of positive definite matrices5. The ma-trix geometric mean has intricate connections to the geometry

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Geometric Mean Maximization: An Overlooked Portfolio …web.iese.edu/jestrada/PDF/Research/Refereed/GMM-Extended.pdf · Geometric Mean Maximization: An Overlooked ... of maximizing

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