Math Is Fun Forum

For #1, notice that the slope or m number in y = mx + b can be calculated by going from one point to the other, and it doesn't matter which one you choose I guess.  So the fraction 3-1 over 2 - -1 is the same as 1 - 3 over -1 - 2.
In case you didn't follow that, you take the last numbers in the coordinates and subtract them and make that the top of the fraction for the m number, and you take the first numbers of the coordinates and subtract them for the bottom of the fraction.
This fraction is the m number, which is the slope of the line, or the tangent of the angle with the horizontal.

Here's some arrangements of five dots to process into your brain to
become super fast at recognizing them.
(Oh yeah, and it's really small so to save network space.)

Doesn't it feel great to be one of the elite members of the society, and I speak for myself as well, when I say, I have known about this number 25 for quite some time!

Hey!  I just beat the connect 4 on hardest level.  I think I got really lucky!
All the columns were filled up except for two when I won.

kstar, Did you learn how to plot an equation by hand on graph paper?
  Did you learn about the angle of a line in terms of rise over run?
  What about word problems that use algebra?  Did you have any of those
like this:
   Two temperature scales, Farenheit and Celsius are both at -40 degrees at the same time.   But when Celcius is at 100, then Farenheit is at 212.  So one went up by 140 degrees when the other went up by 252 degrees.  Draw a graph that plots a straight line with Celsius as one axis and Farenheit as the other axis.
(Check to see if 0 Celsius is 32 Farenheit.)
(Describe why you think the graph should be a straight line.)
(If the line was curved, what would this mean?)
 
Did you do any problems like that?

Excellent answer, MIF.   23 times 7.
Also seven dots can also make the capital letter H, I just noticed.
xox
xxx
xox
Or a capital I:
xxx
oxo
xxx
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Learn Dolphinese!! You can!!

3 + 3 = 6

I thought they added trig functions to the math co-processor back with the 80386...  I might be wrong though.  If the pentium has the trig on the chip, the way you compile may allow it to be used??  Just a guess.  Read the compiler manual for math stuff.

Here's another one, I drew it so small I can't fit in all the numbers!
The monochrome *.bmp is smaller than a JPEG, but the system won't take it onto the forum.
1K vs. 4K.
Oh... Hold on... a *.PNG is even smaller, let's try that.

truth tables and Karnaugh maps are two ways of describing input combinations to outputs of false or true, or don't care.
"Don't care" values can be assigned 0 or 1 so the circuit or boolean expression ends up to your advantage.

In your example, the middle and gate is doing nothing for the circuit because a zero and a one are AND'd
together making a zero that is then put into the final 3-input or gate.  A zero into an OR gate means that the
other inputs are considered.  Why this is true requires explanation for which I might attempt later.

A logic one (true value) into an AND gate means that the other inputs will be considered.

Yes, but you can have a set like this:
B = { ...2,2,2,1,1,1...}