If x=2+√3, find the value of x²+1/x²

Answers

Answer 1

Answer: $x^2+ (1)/(x^2) =x^2+2\cdot x\cdot (1)/(x) +((1)/(x))^2-2\cdot x\cdot (1)/(x) =(x+(1)/(x))^2-2\n\nx=2+ √(3) \ \ \ \Rightarrow\ \ \ x+ (1)/(x) =2+ √(3)+ (1)/(2+ √(3)) =2+ √(3)+ (2- √(3) )/((2+ √(3))(2- √(3))) =\n\n=2+ √(3) + (2- √(3) )/(4-3) =2+ √(3) +2- √(3) =4\n\nx+ (1)/(x) =4\ \ \ \Rightarrow\ \ \ (x+(1)/(x))^2-2=4^2-2=16-2=14$

Answer 2

Answer: x²+1/x² = $(x + 1/x)^(2)$ - 2 * x * ( 1 / x) = ( 2 + √3 + 2 - √3)^2 - 2 = 16 - 2 = 14.

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Can someone help me pls

Answers

Answer:

432 ft^2

Step-by-step explanation:

Answer:

432

Step-by-step explanation:

Lets plug it into the formula

b1 should be the horizontal line on the bottom horizontal line and b2 should be the top horizontal line

so we get b1 = 28 and b2 = 20

according to the formula we should add b1 and b2, getting us 48.

divide 48 by 2: we get 24

24 times h, or the hieght, or 18 is 432

so the answer is 432

could you pls give me brainliest? I only need 1 more brainliest to rank up ;-;

Which set of integers is included in (-1,3]?

Answers

the answer could be 0 , 1 , 2 , 3 hope this helps!

Alan mixes 1 1/3 cups of milk with a can of condensed soup. He makes a total of 2 5/8 cups of soup. How many cups of condensed soup were in the can?

Answers

Subtract 2_5/8 minus 1_1/3:
First, get the fractions to have a common denominator by multiplying the denominators together: 8*3 = 24
Rewrite both fractions with this new denominator:
5/8 needs to be multiplied by 3 on top and bottom to make it have a denominator of 24:
5/8 * 3/3 = 15/24
1/3 needs to be multiplied by 8 on top and bottom to make it have a denominator of 24:
1/3 * 8/8 = 8/24
Now that the fractions have been rewritten with the same denominator, subtract the mixed numbers:
2_15/24 - 1_8/24
Whole numbers:
2 - 1 = 1
Fractions:
15/24 - 8/24 = 7/24.
The can of condensed soup contains 1_7/24 cup

HELP! 10 POINTS!! :((

Answers

Answer below.

1. 2

2. 17

3. 16

4. 4

5. 2

6. 8

7. 8

8. 10

The answer is 6 hope this helps

Holly, the author, has written 160 pages of her next book. She needs to write a minimum of 20 pages per day to complete the expected 380 page book. Which inequality below expresses this situation?

Answers

Answer:

days ≤ 6

Step-by-step explanation:

she gas 160 pages out of the 380 pages, so she needs to write other:

380 - 160 = 120 pages.

If she writes a minimum of 20 pages per day, then the maximum number of days in which she will finish the book is:

20*d = 120

d = 120/20 = 6

so d is the number of days, and we have that:

d ≤ 6.

The equality is when she only writhes 20 pages per day, and if she writes more than that, then the number of days needed will be smaller than 6.

THIS IS FOR 10 POINTS!!!!!!!!!! PLEASE HELP ME12p=?

If p represents a proper fraction then your answer will be
A. Less than
B.Greater than
C. Equal to
AND
What fraction makes the above statement true
2/3 12/1 2/2 8/8 5/4 5/8 12 3/5 16/4

Answers

A proper fraction is a fraction that is less than 1, that is the nominator is smaller than the denominator.

an example of a proper fraction is 1/2.

so let's try it out:

12* $(1)/(2)$ =6

so if p represents a proper fraction, the result could be bigger than 1

but it could also be 1:

12* $(1)/(12)$ =1

or less than 1:

12* $(1)/(22)$ = $(1)/(12)$

So... I think you might have forgotten something?

The options (A. Less than
B.Greater than
C. Equal to)

need something else at the end: less than WHAT etc.

as for the second part, among the fractions:

2/3 12/1 2/2 8/8 5/4 5/8 12 3/5 16/4

Only those are proper fractions (so would make the statement true)

2/3

5/8

3/5

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