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liberstina [14]
3 years ago
5

Name three real life situations in which you would use a positive number

Mathematics
1 answer:
Karolina [17]3 years ago
5 0
Hello.

Describing to someone your height; It would be nonsense telling you have -1 meter, for example.

Describing your age; An age of -3 years is meaningless.

Counting the number of inhabitants in a city. Again, a city with -3000 inhabitants can not exist. 
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HELPPPP!!!
Hatshy [7]

Answer:

(x - 1)²/4² - (y - 2)²/2² = 1 ⇒ The bold labels are the choices

Step-by-step explanation:

* Lets explain how to solve this problem

- The equation of the hyperbola is x² - 4y² - 2x + 16y - 31 = 0

- The standard form of the equation of hyperbola is

  (x - h)²/a² - (y - k)²/b² = 1 where a > b

- So lets collect x in a bracket and make it a completing square and

  also collect y in a bracket and make it a completing square

∵ x² - 4y² - 2x + 16y - 31 = 0

∴ (x² - 2x) + (-4y² + 16y) - 31 = 0

- Take from the second bracket -4 as a common factor

∴ (x² - 2x) + -4(y² - 4y) - 31 = 0

∴ (x² - 2x) - 4(y² - 4y) - 31 = 0

- Lets make (x² - 2x) completing square

∵ √x² = x

∴ The 1st term in the bracket is x

∵ 2x ÷ 2 = x

∴ The product of the 1st term and the 2nd term is x

∵ The 1st term is x

∴ the second term = x ÷ x = 1

∴ The bracket is (x - 1)²

∵  (x - 1)² = (x² - 2x + 1)

∴ To complete the square add 1 to the bracket and subtract 1 out

   the bracket to keep the equation as it

∴ (x² - 2x + 1) - 1

- We will do the same withe bracket of y

- Lets make 4(y² - 4y) completing square

∵ √y² = y

∴ The 1st term in the bracket is x

∵ 4y ÷ 2 = 2y

∴ The product of the 1st term and the 2nd term is 2y

∵ The 1st term is y

∴ the second term = 2y ÷ y = 2

∴ The bracket is 4(y - 2)²

∵ 4(y - 2)² = 4(y² - 4y + 4)

∴ To complete the square add 4 to the bracket and subtract 4 out

   the bracket to keep the equation as it

∴ 4[y² - 4y + 4) - 4]

- Lets put the equation after making the completing square

∴ (x - 1)² - 1 - 4[(y - 2)² - 4] - 31 = 0 ⇒ simplify

∴ (x - 1)² - 1 - 4(y - 2)² + 16 - 31 = 0 ⇒ add the numerical terms

∴ (x - 1)² - 4(y - 2)² - 16 = 0 ⇒ add 14 to both sides

∴ (x - 1)² - 4(y - 2)² = 16 ⇒ divide both sides by 16

∴ (x - 1)²/16 - (y - 2)²/4 = 1

∵ 16 = (4)² and 4 = (2)²

∴ The standard form of the equation of the hyperbola is

   (x - 1)²/4² - (y - 2)²/2² = 1

4 0
3 years ago
63 first-year teachers and 27 experienced teachers attended a school staff meeting. What percentage of the teachers in the meeti
nexus9112 [7]

Answer: 70%

Step-by-step explanation:

Step 1:

Total number of teachers = 63 + 27

                                            =  90

Step 2:

The percentage of the teachers in the meeting were first-year teachers:

(63 ÷ 90) × 100 = 70%

4 0
2 years ago
Please help me i will give biranlyest to who gets this done for me. thank you just do 2,3,4
morpeh [17]

Answer:

2: 6+4+6= 16

3: 6+6+9+9+18=48

4: 6+2+12+3+8= 36

I really hope this helped I’m not very Experienced in this.

6 0
2 years ago
QRST is a rectangle. Find the length of the diagonals.<br><br> QS=8x−11 and RT=4x+21
valkas [14]

Answer: they’re both 53

Step-by-step explanation:

i just took the test and it is correct

7 0
2 years ago
Simplify each expression for x 4<br> a. -5x4<br> b. 7x-3
kirill [66]
Does x equal 4 ?if it does then a) -100
b) 25
4 0
3 years ago
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