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o-na [289]
2 years ago
9

If x+y = 12 and xy = 14, find the value of (x2 + y2).

Mathematics
2 answers:
Strike441 [17]2 years ago
7 0

Answer:

24

Step-by-step explanation:

If x+y=12, x2+y2 must be double this. 12×2=24

11Alexandr11 [23.1K]2 years ago
3 0

Answer:

Substitute x + y = 12 and xy = 14 in the above expansion, we get, Therefore, the value of is equal to 116.I think

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Asap, need help. Thanks if your going to help me! Please explain the steps!​
Rasek [7]

Answers:

  • Person A receives at least 800 dollars, but no more than 1600 dollars
  • Person B receives at least 1000 dollars, but no more than 2000 dollars

=============================================================

Explanation:

We don't have enough information to nail down exact figures, but we can make a range estimate.

The two people (call them A and B) share the profits in the ratio of 4 to 5

In shorthand notation, we can say the ratio is 4:5

This means person A gets 4x dollars while person B gets 5x dollars

The ratio 4x : 5x reduces to 4:5 after dividing both parts by x. The variable x is some positive real number.

The total profit is therefore 4x+5x = 9x dollars

This expression 9x is between 1800 and 3600 dollars, including both endpoints

We then can say...

1800 \le 9x \le 3600\\\\\frac{1800}{9} \le \frac{9x}{9} \le \frac{3600}{9}\\\\200 \le x \le 400

We see that x = 200 is the smallest possible x value. This leads to person A and B receiving 4x = 4*200 = 800 dollars and 5x = 5*200 = 1000 dollars respectively. Note how the ratio 800:1000 reduces to 4:5 after we divide both parts by 200. We can see that 800+1000 = 1800 which is the lowest profit possible.

The inequality above shows that x = 400 is the largest x value possible. If this is the case, then person A receives 4x = 4*400 = 1600 dollars while person B receives 5x = 5*400 = 2000 dollars. The ratio 1600:2000 reduces to 4:5 after we divide both parts by 400. We can see that 1600+2000 = 3600 is the largest profit possible.

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

To summarize:

  • Person A can receive anywhere between 800 dollars and 1600 dollars (inclusive of both endpoints).
  • Person B can receive anywhere between 1000 dollars and 2000 dollars (inclusive of both endpoints).

The actual amount they receive will depend on what the actual profit is. Since we're only given the range of the profit, we can only make an estimated guess of the range for each partner.

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

Side note: For either person, the ratio of the max to min is 2:1. This tells us that the max amount they receive is double compared to the min amount they receive. It's no coincidence that 3600 is double that of 1800.

8 0
2 years ago
Amy measured a house and made a scale drawing. The scale of the drawing was 5 millimeters : 2 meters. In the drawing, the dining
skelet666 [1.2K]

Answer: Amy measured a house and made a scale drawing. The scale of the drawing was 5 millimeters : 2 meters. In the drawing, the dining room is 20 millimeters long. What is the length of the actual dining room?

Step-by-step explanation:

3 0
2 years ago
Which is the most descriptive name for the shape below?
zloy xaker [14]
B. Rectangleeeeeeeeeeeeeeeeeee
6 0
2 years ago
Read 2 more answers
Find x. Give reasons to justify your solution.
stich3 [128]

Answer:

x = 28

Step-by-step explanation:

If AB and CD are the straight lines, sum all the angles formed at a point lying on this line will be 180°.

m∠COE + m∠EOF + m∠FOB + m∠BOD = 180° [Angles at a point O on line AB]

3x + x + (x + 12) + m∠BOD = 180°

m∠BOD = 180° - (5x + 12)

Similarly, m∠AOD + m∠AOC = 180°

152° + m∠AOC = 180°

m∠AOC = 28°

Since, ∠AOC and ∠BOD are the vertical angles,

m∠AOC = m∠BOD

180° - (5x + 12)° = 28°

5x + 12 = 180 - 28

5x = 140

x = 28

3 0
3 years ago
A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is $0.10.
HACTEHA [7]

Answer:

Option B. $0.70

Step-by-step explanation:

First day fine = $0.10

Second day fine (doubled or $0.30 which is lesser)

= $0.10 + $0.10           [$0.10 is lesser than $0.30]

= $0.20

Third day fine = $0.20 + $0.20           [ $0.20 is lesser than $0.30]

                      = $0.40

Fourth day fine = $0.40 + $0.30  = $0.70

[$0.30 is cheaper than doubling the amount $0.40 + $0.40]

Therefore, the total fine for a book on the fourth day is $0.70

4 0
3 years ago
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