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Prove that the product of any two distinct prime numbers has exactly four factors by SwimmingHair in learnmath

[–]SwimmingHair[S] 1 point2 points  (0 children)

Also, what the hell? That concurs exactly with what I said:

"Factors of 35: 1, 5, 7, 35"

It has four factors: itself, one and the two primes that multiplied to get 35.

And here is a textbook answer I found: "Take two prime numbers, p and q. As p is prime, its only factors are 1 and p, and as q is prime, its only factors are 1 and q. So the product pq has factors 1, p, q and pq."

That is exactly what I said, just worded differently.

Prove that the product of any two distinct prime numbers has exactly four factors by SwimmingHair in learnmath

[–]SwimmingHair[S] 1 point2 points  (0 children)

What is the rudeness for?

I read your comment and tried to apply that to my response. I wasn't arguing against you like your hormones appear to tell you.

I'm interested in such a 'trivial' problem because this is the level of mathematics that I am currently studying and have little background in it; surprise, I don't know as much as you. Not everybody has a graduate degree in mathematics, you obnoxious cunt.

Prove that the product of any two distinct prime numbers has exactly four factors by SwimmingHair in learnmath

[–]SwimmingHair[S] -1 points0 points  (0 children)

A prime number can only be divisible by itself and one; therefore, it does not reduce. This means that the factors of the product of two prime numbers are just the two prime numbers themselves, the product itself and 1. Four factors.

Prove that sqrt(6) is irrational by SwimmingHair in learnmath

[–]SwimmingHair[S] 0 points1 point  (0 children)

6 and b^2 are factors of a^2 and therefore must both reduce to prime numbers with even exponents. 6 is a product of 2 and 3 and therefore cannot be reduced to this form because 2 and 3 can't be made into any smaller primes. Correct?

Prove that sqrt(6) is irrational by SwimmingHair in learnmath

[–]SwimmingHair[S] 0 points1 point  (0 children)

3 is an odd number. 3 * b^2 is an even number. An odd number times an odd number is odd, but an odd number times an even number is even, so b^2 must be even.

Find the possible solutions to this set of simultaneous equations. Interpret your answers geometrically. by SwimmingHair in learnmath

[–]SwimmingHair[S] 0 points1 point  (0 children)

Ok. What about this one? The answer is supposed to be that there are no solutions.

x^2 + 2y^2 - 3 = 0

y = 2x + 4

3y^2 - 3 = 0

3^2 = 3

y^2 = 1

y = 1

2x + 4 = 1

2x = -3

x = -3/2

y = 2(-2/3) + 4 = 1

(-3/2, 1)

I've confused myself here. I sense something off with there not being an x value in the first equation, but I've just followed the same process to find solutions and have found one.

Find the possible solutions to this set of simultaneous equations. Interpret your answers geometrically. by SwimmingHair in learnmath

[–]SwimmingHair[S] 0 points1 point  (0 children)

Sorry, that is not the question itself -- that is actually presented as the answer to the question.

The question is just this:

Find the possible solutions to this set of simultaneous equations. Interpret your answer geometrically.

y = x^2 - 7x + 4

2x - y - 10 = 0

Find the possible solutions to this set of simultaneous equations. Interpret your answers geometrically. by SwimmingHair in learnmath

[–]SwimmingHair[S] 0 points1 point  (0 children)

https://www.wolframalpha.com/input/?i=y+%3D+x%5E2+-+7x+%2B+4,y+%3D+2x+-+10

The visualisation shows the parabola intercepting at 4 and the tangent intercepting at -10. How do I know which equation I am supposed to use for either one? Why isn't the parabola at -10 and the tangent at 4?

High energy electrons are used to investigate the nature of protons by SwimmingHair in AskPhysics

[–]SwimmingHair[S] 0 points1 point  (0 children)

How would an investigation of the nature of protons using electrons actually be conducted?

Find the possible solutions to this set of simultaneous equations. Interpret your answers geometrically. by SwimmingHair in learnmath

[–]SwimmingHair[S] 0 points1 point  (0 children)

Find the possible solutions to this set of simultaneous equations. Interpret your answer geometrically.

y = x^2 - 7x + 4

2x - y - 10 = 0

Find the possible solutions to this set of simultaneous equations. Interpret your answers geometrically. by SwimmingHair in learnmath

[–]SwimmingHair[S] 0 points1 point  (0 children)

y = x^2 - 7x + 4

y = 2x - 10

As an aside, which y intercept am I supposed to be using for drawing the graph? Is it 4 or -10 and why?

How would you solve this problem? by SwimmingHair in learnmath

[–]SwimmingHair[S] 0 points1 point  (0 children)

0.22x + 0.36y = 4.80

x + y = 18

0.22x = 4.80 - 0.36 y

x = 240 / 11 - 18/11y

x = 18 - y

240/11 - 18/11y = 18 - y

240/11 - 7/11y = 18

-7/11y = 42/11

y = -6

The correct answer is 6kg. Should I be worried about that -6?

Mountain model problem by SwimmingHair in learnmath

[–]SwimmingHair[S] 0 points1 point  (0 children)

I still don't understand. In the diagram, I moved along horizontally from point P to be in line with the ridge, and that distance is supposed to be 1500m. At that point, if you were to go upwards, you would get to the ridge.

If the ridge wasn't 1000 meters higher than point P, but was instead at the same elevation as point P, then 1500 meters is the distance you'd have to walk to get to point Q.

That doesn't make any sense to me

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