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Thank you Milos, something for us to think about ...
I might be able to get this STARTED, because there is a formula for working out the area of a triangle from its three side, it is called "Heron's Forumula", after a Greek mathematican called Heron who lived about 2000 years ago.
The formula is:
Area of Triangle = sqrt( s(s-a)(s-b)(s-c) )
Where a, b and c are the lengths of the three sides, and s (a+b+c)/2 (ie s=half the perimeter of the triangle)
But I haven't figured what to do next ....
Not a worry!
* Raising teenagers is like nailing jelly to a tree.
* Families are like fudge...mostly sweet, with a few nuts.
* Today's mighty oak is just yesterday's nut that held its ground.
* Laughing is good exercise. It's like jogging on the inside.
* Being Grown Up is when you choose your cereal for the fiber, not the toy.
* Don't sneeze when someone is cutting your hair.
* You can't trust dogs to watch your food.
* No matter how hard you try, you can't baptise cats.
* You can't hide a piece of broccoli in a glass of milk.
* Don't wear polka-dot underwear under white shorts.
* When your Mother is angry with your Dad, don't let her brush your hair.
* If your sister hits you, don't hit her back. They always catch the second person.
* Never ask your 3-year old brother to hold a tomato.
OK, so we all seem to be happy with the rules - but why aren't we RESPECTING them?
I had to delete multiple posts from Vulcan which were obviously spammy (plus I had to delete other peoples comments in response, or they would have been left hanging looking silly), and Mr T keeps on wanting to post the "feathers" link which would not be good for some visitors.
Water - it starts with a double-u ....
Jackknife.
*Groan*
What is 100th of a Mental?
Centimental
They do it to annoy you, methinks
Problem 2 is "47": 47^3 (ie 47 cubed, or 47*47*47) = 103,823
Problem 1 doesn't make sense ... 89^2 (ie 89 squared, or 89*89) = 7921, but your problem has 79@@, so I am not sure what's up with that.
Thats me - I'm Simple.
OK, here is the first final draft:
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Good so far !!
The parabola will focus the rays on to ONE spot (ouch! that'll be hot!)
The equation is: y = x² / 4p, where p is the height of the focal point
Have a look at the graph x² on our little graph applet
So, for example, if you want the focal point to be 1 meter above the parabola's base you would use:
y = x² / 4
So, Width (either right or left of center) vs Height would be
W ... H
0.3 ... 0.02
0.6 ... 0.09
0.9 ... 0.2
1.2 ... 0.36
1.5 ... 0.56
1.8 ... 0.81
I found a really great way for you to lay out the parabola at this website: http://www.gizmology.net/parabola.htm, and after sketching using their technique, you can take a few measurements and confirm that the relationship y = x² / 4p still works.
Oh, how wonderful ... math jokes ! This is just TOO wonderful.
Go ahead, Pepe, hit us with the answers (if you have any, that is)
The density of a Neutron Star (which is not as dense as a Black Hole) is so high, that one teaspoonful of it would weigh about 100 billion kilograms, or more than 1,000 Titanics.
I think he got shy when someone said he cut-and-pasted it. It WAS long.
Personally I think the idea is cool. I have read that there are some unexplained things in science - apparently things occur faster than they should.
Something about pairs of particles that if you alter one, the other changes instantly, even if some distance apart ...
And I was going to read that when I had time ...
Thanks, and good luck on your Sats
Oh, Yeah, "Happy, Happy, Joy, Joy"
Every piece has its specialty:
Pawns go forward one step, but can go two the first time
Bishops go in diagonals (one or more steps)
Knights go 2-turn-1 (example: 2 steps forward, 1 to the left)
Castles go straight (not diagonal) (one or more steps)
The Queen can go straight or diagonal (one or more steps)
The King can go straight or diagonal, but only one step
You can never jump OVER a piece, except the Knight can, because he "jumps" like a horse.
You capture (take) a piece by landing ON it.
You win by capturing the King.
WEEELLL, automatic translation comes up with:
you have meich
mother the groups stphen
speiluh
roustig hubs
That makes sense now ...
I have a chess game I can put up on the website if anyone is interested.
Hi again, princess.
Easy peasy ... just neaten it up, so that "terms" such as x, or x-squared are brought together.
So, you have: x-squared + 6x - 2x - 12
There is just one "x-squared" term, so thats fine as it is
There are two "x" terms, so add them together: 6x - 2x = 4x
And there is just one normal number term (called a "constant"), ie, -12.
So the neatened-up expression is:
x-squared + 4x - 12 DONE