Case proof

Case proof

x,y,z ∈ ℝ3 and x+y+3z=0 How do I prove ax+by+cz=dx+ey, if d and e are real numbers chosen to fit the equation? Thank you very much if...

Given p is parallel to q, if line AD is parallel to line BE and line CF is parallel to line BE, then angle BAC is congruent to angle EDF?

Given: Segment AB is parallel to segment CD Prove: Arc of mAC = arc of mBD Please help!

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...

I know to suppose (x^5)+(e^x)=0 has two distinct roots. f(a)=f(b)=0 with a/=b , there exists a c E(a,b). Now I am stuck.

It can't be in a graph and has to be in the statement-reason format. I'll need the equations used as well

The curvature K is defined as k=||dT(s)/(ds)|| Use the chain rule to show that k can be expressed as: k=||T'(t)|| ...

This is a proof I am trying to do in Geometry and I just can't solve it! Please help!

I know to like assume that (x^5)+(e^x)=0 has two distinct roots and then find the contradiction. But am stuck.

Given: B is the midpoint of AC and DL Prove: Triangle ADB and Triangle CLB are congruent

let 〈xn〉n=1...∞ be a sequence satisfying xn+1=xn-xn-1 for each n. Prove that xn+6=xn for all n belonging to N using the below formula xn=p((1+i(sqrt3))/2)n+q((1-i(sqrt3))/2)n p...

Statements: 9 = 4x - 3(x - 2) 9 = 4x - 3x + 6 9 = x + 6 3 = x x = 3 Reasons: Given ...

For any n∈ N, n∉0, define the DFA Mn = ({0, 1, ..., n-1}, {0,1}, δ, 0, {0}), where δ(i,c) = (2i+c) mod n. Prove that L(Mn) = {x | val(x) mod n=0}

Discuss the differences between a coordinate geometry proof and a proof method that does not require coordinate geometry. When would it be appropriate to use a coordinate proof rather than another...

Statements: m ⊥ l, n ⊥ l <1 is a right angle <2 is a right angle <1 =~ <2 m || n Reasons: Given ...

let n∈N. if a,b,c,d ∈ N and a≡b (mod n) and c≡d (mod n) prove that ac≡bd (mod n). Please, any help would be greatly appreciated. This is a study question on my study guide and I'm having...

use the well-ordering principle. Please help with this question, it's a practice problem, I just can't figure out. Thank you!

let m,n belong to N, and m,n>1, prove that mn< (m+n)choose 2 Please help. Thank you!

This is the supposed way of working it out: Expand: (2n+3)^2 - (2n-3)^2 (2n+3)(2n+3) - (2n-3)(2n-3) (4n^2+6n+6n+9) - (2n^2-6n-6n+9) 4n^2+6n+6n+9-2n^2-6n-6n+9 Then...