If x = 4-√5, find the value of (x2+1/x2 )

Answers

Answer 1

Answer:

2562 - 960√5/11

Step-by-step explanation:

We are given here the value of x as 4 - √5. We need to find the value of x² + 1/x² . So let's find out 1/x

⇒ x = 4 - √5

⇒ 1/x = 1/4-√5

⇒ 1/x = (4 + √5) / ( 4 - √5) ( 4 + √5 )

⇒ 1/x = 4 + √5 / 4² - (√5)²

[ using (a+b)(a-b) = a² - b²]

⇒ 1/x = 4+√5 / 16 - 5

1/x = 4+5/11

Add x² and 1/x² now ,

⇒ x² + 1/x² = (4-√5)² + (4+√5)²/11²

⇒ x² + 1/x² = 121( 16 + 5 -8√5 ) + 16 + 5 + 8√5 / 121

⇒ x² + 1/x² = 1936 + 605 - 968√5 + 21 + 8√5 / 121

⇒ x² + 1/x² = 2562 - 960√5/11


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A Ferris wheel has a diameter of 90 feet. If a rider starts at the bottom of the wheel, how many feet does the rider travel after one full turn of the wheel? Record your answer in the boxes. Then fill in the bubbles. Be sure to use the correct place value.​

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What is the approximate value of tan C?
B
13.93
A
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A. 0.38
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Answers

Answer:

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Step-by-step explanation:

the ratio of magazines to books in the library at Grady’s school is 2 to 9. which of these is an equivalent ratio?

A. 4 to 9
B. 10 to 45
C. 2 to 18
D. 1 to 18

Answers

Answer: B

Step-by-step explanation:

2/9 = 2(5)/9(5) = 10/45

You can multiply the numerator and the denominator by the same and the fraction will always be equivalent.

2 to 9 is equivalent to 10 to 45

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shape A to shape B.​

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Step-by-step explanation:

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Answers

Answer:

63

Step-by-step explanation:

Answer: 63

Step-by-step explanation: First, you would do 10 x 567.

10 x 500 = 5000

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10 x 7 = 70

5000 + 600 + 70 = 5670

Next, you find out 2 x 45.

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The answer to that is 63.

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Answers

Answer:

(

)

=

0

.

7

5

+

2

Step-by-step explanation:

What is the vertex of f(x) = |x + 8| – 3?
(-8,-3)
(-8,3)
(8,-3)
(8,3)

Answers

What is the vertex of f(x)=|-8,-3|-3?

Answer: A.(-8,-3)

The vertex of the function f(x) = |x + 8| - 3 is (-8, -3).

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given is an absolute value function,

f(x) = |x + 8| – 3

For a function of the form,

f(X) = a |x - h| + k, the vertex of the function is the point (h, k).

Comparing the equation with the given one,

f(x) = |x + 8| – 3

f(x) = |x - (-8)| + (-3)

So we get, h = -8 and k = -3.

So vertex is (-8, -3).

Hence the vertex is (-8, -3).

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HaAAAaAAaaaaAaaAaAaLp​

Answers

Answer:

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Step-by-step explanation:

Hope This Helped

Answer:

The answer is D

Step-by-step explanation:

8x6 is 48

-3x6=18-

-4x6=24-

-7x6=42-

Evaluate the expression if k = 5: 2(k + 9)
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Answers

Answer:

The answer would be D , 28 .

Step-by-step explanation:

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Answers

The answer Is D,
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Answer:

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Step-by-step explanation:

Chicago, Illinois, has an elevation of 600 feet above sea level. The elevation of Desert Shores, California, is 800 feet less than the elevation of Chicago. Select all options that apply to Desert Shores. *

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Answers

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elevation of –200 feet  

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Step-by-step explanation

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Answers

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Step-by-step explanation:

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3.14 * 3 * (4/2)^2

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Find the mean absolute deviation

Answers

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Step-by-step explanation:

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Answers

Answer:

x > 3

Step-by-step explanation:

Open circle and going to the right inequality: >

Since it starts at 3, the inequality is:

x > 3

The required inequality will be 3<x<7.

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It is a type of equation having less than and greater than signs.

How to form an inequality?

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Answers

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Step-by-step explanation:

The name of the segment AB is radius

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9

64

Answers

Answer:

y = 36

Step-by-step explanation:

Given y varies directly as z and inversely as x then the equation relating them is

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Graph 1
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Answers

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Step-by-step explanation:

99.99

- 89.98

-------------

10.01

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Answers

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The drama club sells tickets to their spring play. They sell 180 tickets for a
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Show your work.

Answers

The number of adult and student tickets are 112 and 68 respectively

How to determine the number of adult and student tickets?

Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.

Set up equations to represent the problem.

Let the A and S represent the numbers of adult and student ticket respectively. So we can write:

A + S = 180 --- (1)

14A + 10S = 2248  --- (2)

From (1):

A = 180 - S ----(3)

Put (3) in (2):

14A + 10S = 2248

14(180 - S) + 10S = 2248

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A = 180 - S

A = 180 - 68

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Step-by-step explanation:

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Step-by-step explanation:

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B. From a starting point of 7 meters below sea level, the fish ascending 3 meters per second.

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Answers

Answer:

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Step-by-step explanation:

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