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
sweet-ann [11.9K]
3 years ago
12

Which combination of integers can be used to generate the Pythagorean triple (7,24,25)?

Mathematics
2 answers:
lilavasa [31]3 years ago
5 0

it would be b...........

allochka39001 [22]3 years ago
3 0
A Pythagorean triple is a set of thre integer numbers, a, b and c that meet the Pythgorean theorem a^2 + b^2 = c^2

Use Euclide's formula for generating Pythagorean triples.

This formula states that given two arbitrary different integers, x and y, both greater than zero, then the following numbers a, b, c form a Pythagorean triple:

a = x^2 - y^2

b = 2xy

c = x^2 + y^2.


From a = x^2 - y^2, you need that x > y, then you can discard options A and D.

Now you have to probe the other options.

Start with option B, x = 4, y = 3

a = x^2 - y^2 = 4^2 - 3^2 = 16 -9 = 7

b = 2xy = 2(4)(3) = 24

c = x^2 9 y^2  = 4^2 + 3^2 = 16 + 9 = 25

Then we could generate the Pythagorean triple (7, 24, 25) with x = 4 and y =3.

If you want, you can check that a^2 + b^2 = c^2; i.e. 7^2 + 24^2 = 25^2

The answer is the option B. x = 4, y = 3
You might be interested in
Prove that C(50,3) + C(50,4) = C(51,4)
valkas [14]

By definition of the binomial coefficient,

C(n,k) = \dfrac{n!}{k!(n-k)!}

so we have

C(50,3) + C(50,4) = \dfrac{50!}{3!47!} + \dfrac{50!}{4!46!} \\\\ = \dfrac{50!}{3!46!} \left(\dfrac1{47} + \dfrac14\right) \\\\ = \dfrac{50!}{3!46!} \times \dfrac{51}{188} \\\\ = \dfrac{51!}{3!46!} \times \dfrac1{4\times47} \\\\ = \dfrac{51!}{4!47!} \\\\ = \dfrac{51!}{4!(51-4)!} = C(51,4)

as required.

5 0
2 years ago
Istg if yall put any links-​
Naddik [55]

Answer:

0?

Step-by-step explanation:

7 0
2 years ago
Can someone help me please
fredd [130]
The answer to that is C.
6 0
2 years ago
Journal entries recorded to update general ledger accounts at the end of a fiscal period
serg [7]
Yea so whats the question or is that just a fact<span />
5 0
3 years ago
Read 2 more answers
What is -2x - 10 = - 14x - 7?
jek_recluse [69]

x=4 because if you add 7 to 10 you get -2x-3=-14x then you add -2x to -14x and you get -3=-12 then you divide by -3 and -12 to get 4


3 0
3 years ago
Read 2 more answers
Other questions:
  • 9-4x is greater than or equal to 5or 4(-1+x) greater than or equal to 2
    13·1 answer
  • What's the surface area?
    5·1 answer
  • 1/4(X-10)=2X+1 <br><br> what is X?
    11·1 answer
  • Two squares are attached to the sides of a quarter circle as shown.
    11·1 answer
  • If the range of the coordinate transformation f(x, y) = (-2x,-3y +1) is (4, -2), (2,-5),(-6,4), what
    11·1 answer
  • The area (
    7·1 answer
  • What is the probability that the product of the two numbers Drake rolls is less than 13?
    9·2 answers
  • If there are 36 students and the ratio of girls to boys 5:4 how many girls and boys would there be​
    5·1 answer
  • I need help with this:)​
    9·2 answers
  • A restaurant had 5 pies each cut into eighths. By noon 3/4 of all the pieces were sold. How many pieces of the pie were sold by
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!