1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elena L [17]
3 years ago
12

The Pythagoreans changed mathematics from a science into a set of problem-solving techniques. True or false

Mathematics
1 answer:
Studentka2010 [4]3 years ago
8 0
The correct answer is true
You might be interested in
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
-56z+28 is equal to what?
Svetlanka [38]

Answer:

Factor  − 28  out of  − 56 z + 28 .

answer = − 28 ( 2 z  −  1 )

Step-by-step explanation:

Hope this helps! Have a great day!

8 0
2 years ago
Read 2 more answers
A mass attached to a spring is pulled towards the floor then let go. Its height is recorded and
andreev551 [17]

First find the derivative,

\dfrac{d}{dt}\Big(-10\cos(4t)\Big)=40\sin(4t).

Then find the critical point,

40\sin(4t)=0\implies t=40\mathrm{s}.

Hope this helps.

I am a little rusty here :(.

3 0
3 years ago
The larger of two numbers is 1 less than 3 times the smaller. their sum is 63. find the numbers
dybincka [34]

Your answer would be 5 and 2 :)

7 0
2 years ago
Read 2 more answers
Evaluate each expression (image provided). A.) 5 B.) 7 C.) 4 D.) 6
Mkey [24]

<h3>The answer is option A.</h3>

Step-by-step explanation:

log_{3}(243)

Can be written as

log_{3}( {3}^{5} )

Which is the same as

5 log_{3}(3)

But

log_{3}(3)  = 1

So we have

5(1) = 5

Hope this helps you

3 0
2 years ago
Other questions:
  • What is the value of n 9 times 27 plus 2 times 31 - 28 equals n
    5·2 answers
  • If the annual interest rate is 12%, what is the monthly interest rate?
    5·2 answers
  • 20.   The sum of two consecutive even integers is 158. Find the least of the two integers. 
    15·2 answers
  • Is 7/15 reapeating or terminating
    9·2 answers
  • I’ll give the Brainliest to whoever answers this question with a reasonable explanation.
    14·1 answer
  • A trapezoid is ______________ isosceles. Question 4 options: Always Sometimes Never
    8·1 answer
  • Is this a proportional or nonproportional linear relationship?
    15·2 answers
  • Find the measure of angle P in the triangle below
    6·2 answers
  • A figure has the following coordinates x (0,1).Y (4,6) z (-5,-1). If the figure is translates 4 units left and 3 units up, what
    11·1 answer
  • HELP PLEASE URGENT, ASAP. THIS IS GRADE 11 TRIGONOMETRY ILL GIVE THE BRAINLIEST!!!!!!!!!!!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!