• October 15th, 2017, 22:29
MarkFL replied to a thread Show AB = BC in Pre-Calculus
It tells you the three points are collinear...now, is point $B$ the midpoint of $\overline{AC}$ ?
9 replies | 92 view(s)
• October 15th, 2017, 22:00
MarkFL replied to a thread Show AB = BC in Pre-Calculus
Please attach the images inline...otherwise they won't show up in the "Topic Review" and having them show up there can be helpful when replying to a...
9 replies | 92 view(s)
• October 15th, 2017, 21:51
MarkFL replied to a thread Show AB = BC in Pre-Calculus
In order for three points to be collinear, we can pick any two distinct sets of two points from the set of three to form two line segments, and those...
9 replies | 92 view(s)
• October 15th, 2017, 16:11
Hello, MHB Community! (Wave) Those of you active in this forum have likely noticed some new thread prefixes associated with a few of the threads...
2 replies | 1870 view(s)
• October 15th, 2017, 00:20
Unsolved Challenge
Prove √(sinx)>sin√(x) in Challenge Questions and Puzzles
Prove that $\sqrt{\sin x}>\sin \sqrt{x}$ for $0<x<\dfrac{\pi}{2}$.
0 replies | 54 view(s)
• October 14th, 2017, 22:40
Unsolved Challenge
Evaluate ∠APR in Challenge Questions and Puzzles
Hi Opalg! I can't tell you enough how much I appreciate your participation to the two unsolved challenges of mine...and you definitely are on a...
3 replies | 113 view(s)
• October 14th, 2017, 19:42
MarkFL replied to a thread Isosceles Triangle in Pre-Calculus
Yes, the distance formula would be a good way to proceed, but recall, an equilateral triangle is a special case of an isosceles triangle...so, you...
2 replies | 48 view(s)
• October 14th, 2017, 19:39
MarkFL replied to a thread Show AB + BC = AC in Pre-Calculus
Yes, and if this is true, then what must be true of the 3 points?
2 replies | 45 view(s)
• October 14th, 2017, 19:36
When doing synthetic division, the actual root $r$ or zero of the polynomial is put out to the left. Thus we know: f(r)=0 And the polynomial...
1 replies | 43 view(s)
• October 14th, 2017, 19:26
I am assuming the volume is the cubic polynomial: V(x)=2x^3+9x^2+4x-15 We are told the depth is $x-1$, so we know $1$ is a zero of the...
1 replies | 40 view(s)
• October 14th, 2017, 19:18
MarkFL replied to a thread Show AB = BC in Pre-Calculus
Yes, the distance formula would work, or if you can show the 3 points are collinear, then you could use the mid-point formula. :)
9 replies | 92 view(s)
• October 14th, 2017, 19:14
When I plug in the numbers, I get choice C). W|A - 40000(0.11/12)/(1-(1+0.11/12)^(-30*12))
2 replies | 58 view(s)
• October 14th, 2017, 12:24
Unsolved Challenge
Prove ∠A≤60°. in Challenge Questions and Puzzles
I can only say thank you, Opalg, for your so insightful and intelligent solution! (Sun)(Cool)
2 replies | 116 view(s)
• October 14th, 2017, 02:19
Unsolved Challenge
Evaluate ∠APR in Challenge Questions and Puzzles
Let $A$ be the midpoint of the side $QR$ on a triangle $PQR$. Given that $\angle APQ=3\angle APR$ and $\angle PAQ=45^\circ$, evaluate $\angle APR$.
3 replies | 113 view(s)
• October 13th, 2017, 12:28
Unsolved Challenge
Prove ∠A≤60°. in Challenge Questions and Puzzles
Hello MHB, This is the first of our "Unsolved challenge" threads, it is a challenge which I found pretty interesting but yet I still couldn't...
2 replies | 116 view(s)
• October 13th, 2017, 12:14
Here is this week's POTW: ----- Consider the sequence $\{a_k\}_{k\ge 1}$ is defined by $a_1=1$, $a_2=\dfrac{1}{2}$ and...
0 replies | 57 view(s)
• October 13th, 2017, 12:05
Congratulations to the following members for their correct solution: 1. MarkFL 2. lfdahl Solution from MarkFL: By cyclic symmetry, we know...
1 replies | 100 view(s)
• October 13th, 2017, 02:54
Let's let $D$ be the amount of the end of year deposits, and $i$ be the annual interest rate. So, the amount of the account at the end of year $n$...
2 replies | 46 view(s)
• October 12th, 2017, 09:29
MarkFL replied to a thread New here in Introductions
Hello and welcome to MHB, Johny! (Wave)
3 replies | 157 view(s)
• October 11th, 2017, 21:38
Okay, judging by your derivative, we are actually given: p(t)=10te^{-\frac{t}{8}} And so: p'(t)=-\frac{5}{4}e^{-\frac{t}{8}}(t-8) Do you...
2 replies | 53 view(s)
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### 28 Visitor Messages

1. Hello and welcome back to MHB, Fernando Revilla!

We are happy to see that you have returned, and we look forward to your continued participation here!

On Behalf Of MHB's Staff,

Jameson.
2. Hello and welcome back to MHB, Fernando Revilla!

We are happy to see that you have returned, and we look forward to your continued participation here!

On Behalf Of MHB's Staff,

Jameson.
3. Welcome back, Fernando! Glad to see you've rejoined the party!
4. Woow , it's been a while. Welcome back
5. Welcome back, Fernando!
6. Hey! There you are! I was wondering if you'd be back. We missed you!
7. Hey Fernando, nice to see you back!
8. Congratulations on the 500 post mark! It's great that you've been so active this year Looking forward to the next 500 posts.
9. hola profesor fernando que pena escribir en español pero no se ingles, queria saber si usted conoce alguna aplicacion de las integrales sin(x*x*x*x), he desarrollado un metodo numerico para calcularlas en cualquier valor comprendido en el intervalo de (4,infinito) y mi abogado me dice que tengo que encontrar una aplicacion para poder proteger y blindar de una forma mas segura los derechos de autor, estare pendiente de su respuesta, o si conoce a alguien que me pueda ayudar le agradeceria enormemente, gracias.

hello fernando teacher wanted to know if you know any application of the integral sin (x * x * x * x), I have developed a numerical method to calculate any value in the interval (4, infinity) and my lawyer tells me I have to find an application in order to protect and shield in a more secure copyright, I will be aware of your answer, or if you know someone who can help me I would appreciate greatly, thanks.

att
jefferson alexander vitola
10. LOL! Nicely put!
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