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How many ordered triples of three prime numbers exist for which the sum of the members of the triple is 24?
Dhruvik229
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∙ 11y ago
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What happens to the area of a circle if you triple a radius?
When you triple the radius of the circle . . . -- The diameter also triples. -- The circumference also triples. -- The area is multiplied by 9 .
What are Pythagorean Triples?
A Pythagorean Triple is a set of three numbers that are related like this:(The square of one of them) = (the square of another one) + ( the square of the third one)If three numbers are related that way, then they can be the lengths of the sides ofa right triangle. If they're not, then they can't.They're called a "Pythagorean Triple" because the ancient Greek mathematician Pythagoraswas the one who wrote the famous formula that describes the relationship among thesides of every right triangle. That's his formula, up in the second line of this answer.
How can you tell if three positive numbers form a Pythagorean triple?
The Pythagorean thereom is a^2+b^2=c^2. So, you can tell if they are a Pythagorean triple by seeing if the two smaller numbers squared equal the largest number squared. Example. Are 3,4, and 5 a Pythagorean triple? 3^2= 9. 4^2= 16. 5^2= 25. 9+16=25, so they are a triple.
How could you determine if a set of three numbers defines a right triangle?
If they are a Pythagorean triple then they will form a right angle triangle
How does Euclid's Formula Work?
Euclid's Formula is a method of generating Pythagorean Triples. A Pythagorean Triple is a set of three positive integers (whole numbers), which satisfy the equation a2 + b2 = c2. The smallest Pythagorean Triple is 3, 4, 5. Euclid's Formula says this: If you choose two positive integers m and n, with m < n, then the three numbers n2 - m2, 2mn and n2 + m2 form a Pythagorean Triple. For example, if m = 5 and n = 7, n2 - m2 = 49 - 25 = 24, 2mn = 70, and n2 + m2 = 49 + 25 = 74. 24, 70, 74 is a PT, because 242 + 702 = 742. That's how to use Euclid's Formula. If the question means why does it work, then: (n2 - m2)2 + (2mn)2 = (n4 + m4 - 2n2m2) + (4m2n2) = n4 + m4 + 2n2m2, which is the same thing as (n2 + m2)2 . Two things to note are: The Formula does not generate all possible Triples, and it will generate Primitive Triples (ones with no common factor), only if m and n have no common factor, (except 1).
What ordered pairs satisfy the equation y equals 3x?
Any pair of numbers at all, as long as one of them is triple the other one.
How do you graph an ordered triple?
To graph an ordered triple, you need to plot points in a three-dimension coordinate system that have X,Y, and Z axises. An ordered triple like (x1, y1, z1) would be located on the different axises of a graph.
Formula for midpoint of ordered triples?
You would use the midpoint formula on each axis, given that each ordered triple is represented by (x, y, z). The midpoint formula is another way of saying the mean of each axis.
Are multiples of triples Pythagorean Triples?
No, the multiple of any random triple is not a Pythagorean triple.
What are Pythagorean triples in 243541.2?
You seem to have squashed the numbers together but 4, 3 and 5 make up a Pythagorean triple.
How do you put the word triple in a sentence?
She ordered triple the amount of string beans that he ordered, despite the fact that she was on a diet to eat less. (or) "I triple-dog-dare you to eat a bowl of worms!" exclaims my sister.
Who was part of the triple entente and triple alliance?
Members of the Triple Entente were England, France, and Russia. Members of the Triple Alliance were Germany, Austria-Hungary, and Italy.
What are mathematical words starting with o?
object ordered pair ordered triple obsolete operation of
Who were members of the triple alliance Who were members of triple entente?
The triple alliance consisted of Germany, Austria/Hungary and ITALY. The triple entente consisted of FRANCE,BRITIAN and RUSSIA
How are pythagorean triples different to other triads?
for numbers a,b, and c to be a pythagorean triple, they must obey the rule a^2+b^2=c^2. This is not true of 3 numbers picked at random of course.
What happens to the area of a circle if you triple a radius?
When you triple the radius of the circle . . . -- The diameter also triples. -- The circumference also triples. -- The area is multiplied by 9 .
Who were the members of the triple and the triple entente?
Triple Alliance: Italy Germany Austro Hungarian Empire Triple Entente: Great Britain France Russia
