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dimaraw [331]
3 years ago
7

scott has a travel book on each of four Hawaiian: Maui, Kauai, Hawaii, and Oahu. In how many different ways can these four books

be arranged on a shelf?
Mathematics
2 answers:
Eddi Din [679]3 years ago
8 0
Alphabetical
By number of population
By crime rate
inysia [295]3 years ago
7 0

16 ways

Each book can be put in 4 different ways.

4 x 4 = 16


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mario62 [17]

Answer:

The equation of the ellipse is \frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1

Step-by-step explanation:

The standard form of the equation of an ellipse with center (0 , 0) is

\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 , where

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  • The coordinates of the foci are (± c , 0) , where c ² = a² - b²  

∵ The ellipse is centered at the origin

∴ The center of it is (0 , 0)

∵ It has foci at (± 8 , 0)

- The coordinates of the foci are (± c , 0)

∴ c = ±8

∵ It has Vertices at (± 17 , 0)

- The coordinates of the vertices are (± a , 0)

∴ a = ±17

∵ c² = a² - b²

- Substitute the values of c and a to find b

∴ (8)² = (17)² - b²

∴ 64 = 289 - b²

- Add b² to both sides

∴ b² + 64 = 289

- Subtract 64 from both sides

∴ b² = 225

- Take √  for both sides

∴ b = ± 15

∵ The equation of the ellipse is \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1

- Substitute the values of a and b in it

∴ \frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1 ⇒ \frac{x^{2}}{289}+\frac{y^{2}}{225}=1  

∴ The equation of the ellipse is \frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1

6 0
3 years ago
The length of a rectangle is 5 inches more than twice a number.The width is 4 inches less than the same number.If the area of th
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Answer:

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Find the sum: |5| + (-3) + |-6| + 5.
lesantik [10]

13

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What is the value of x in the equation 5x+ 3 = 4x?<br> A.-3<br> B.- 1/3<br> C.1/3<br> D.3
Elina [12.6K]

Answer:

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<u>Step-by-step explanation:</u>

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Factored form of expression is: 7(3m - 7n)

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