For all positive integers m and n, with m<n if m divides (35n) then either m divides 35 or m divides n

For all positive integers m and n, with m<n if m divides (35n) then either m divides 35 or m divides n

if 3x5y=325, then x=2 and y=1

Given: RS=8 RS=TV RT=15 Prove: SV=15

Prove that gcf(p,q) = gcf(p+q,lcm(p,q))?

Took a quiz in precal and this question completely stumped me to the point of writing it down to try and figure it out later. I know you would start with the left side but that’s as far as I have...

let x be a positive real number let k be a positive integer prove by induction that: 2k-1 ∑ xi / (xi +xk) = k- (1/2) i=1

Given:<DBE is congruent to <EBF Prove: <ABE is congruent to <CBE

You are given a series of envelopes, respectively containing 1, 2, 4, , , , , 2m dollars. Definition: Property 1: For any nonnegative integer less than 2m+1 there is a selection of envelopes whose...

The following problem consists of an assertion and a ‘proof’. Identify any error(s) in the ‘proof’. If there are errors but the assertion is true, provide a correct proof. Otherwise, provide a counter-example...

Suppose that a + b + c = d; where a, b, c, d are nonnegative integers. Let P be the assertion that d is even. Let W be the assertion that exactly one among a, b, c are even,...

I need help to find the proof

how do you prove that the derivative of x^n is nx^n-1

I have a lot of trouble with proofs and need help.

Prove by contradiction: If an integer n has the form 3K+1, then it does not have the form 9L+5.

If all the primes where (2,3,5) then you can multiply them together to get 30, but then you add 1. Like how 64 is made up of 2x2x2x2x2x2, which can't this new number be made up of multiple smaller...

Find an example of a set A and functions f :A→A and g:A→A such that f◦g=idA but g ◦ f does not equal idA. I am not sure what idA means or an example for this

I can't figure out how to prove that statement. Any help would be great.

The picture is a quadrilateral with point A on the bottom left corner, point B on the bottom right corner, point D on the top left corner, point C on the top right corner, with a diagonal line from...

Write a proof using the following information. Given: ∠EAB ≅ ∠DBA, ∠DAE ≅ ∠CBD Prove: DA ≅ EB

2 Let a and b be integers such that a divides b+2 and a divides c-1. (a) Prove that a divides bc+2 Let a, b and c be integers such that a divides b and a divides c. Let x...