<span>Direct proof. A direct proof is a way of establishing the truth or falsehood of a given mathematical statement by a combination of established facts, usually axioms, lemmas and theorems. It assumes the hypothesis of a conjecture is true and then uses a series of logical deductions to prove that the conclusion as well.</span>

7 0

3 years ago

Okkkkkkk jjjjjjjjhhhhh

JulsSmile [24]

Okkkkkkkkkkkkkkkkkkkkkkkkkkk

5 0

2 years ago

If the sphere shown has a radius of 9 units, what is the volume of the sphere?

kirill [66]

V = 4/3 * 3.14 * 9^3 = 3052.08

Answer is B

6 0

2 years ago

Solve the following equation and show all the steps to solving.

Bumek [7]

$\bf \cfrac{x}{x-2}+\cfrac{x-1}{x+1}=-1\impliedby LCD\to (x-2)(x+1)\\\\
-------------------------------\\\\
\cfrac{x(x+1)+(x-1)(x-2)}{(x-2)(x+1)}=-1
\\\\\\
x^2+x+x^2-3x+2=-1(x-2)(x+1)
\\\\\\
2x^2-2x+2=-1(x^2-x-2)\implies 2x^2-2x+2=-x^2+x+2
\\\\\\
3x^2-3x=0\implies 3x(x-1)=0\implies 
\begin{cases}
3x=0\implies &x=0\\
x-1=0\implies &x=1
\end{cases}$

8 0

2 years ago