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#176 Re: Help Me ! » x^2-9y^2=0 (where x>0 and Y>0) Work out the ratio x:y » 2023-10-20 04:09:06
x^2-9y^2=0 (where x>0 and Y>0)
Work out the ratio x:yNot sure where to start with this one.
factor the difference of squares
since x and y have to be positive then
create ratio
substitute for x
simplify
#177 Maths Is Fun - Suggestions and Comments » SSL expired? » 2023-10-20 03:57:06
- amnkb
- Replies: 7
when i went to log in today i got a 'not secure' warning screen
now that i'm logged in chrome has a 'not secure' warning ont he url
'https' is crossed out
did ssl cert expire?
#178 Re: Maths Is Fun - Suggestions and Comments » Upgrade Picture Uploads » 2023-10-20 03:50:38
amnkb wrote:does this method work at all?
Hi amnkb;
I've just posted an update to that thread by listing the browsers and which desktop views they support.
thanks!
#179 Re: Maths Is Fun - Suggestions and Comments » Upgrade Picture Uploads » 2023-10-17 05:17:15
does this method work at all?
#180 Re: Help Me ! » What is sine in math » 2023-10-17 05:12:25
What is sine and cose
definitions: sine and cosine
they are ratios of sides of right triangles
Is sine is a length of something or a degree
its a ratio of lengths of sides of a right triangle w.r.t. one of the angles of that triangle
the sides have lengths
sine does not have length
2 sides making angle at non-right corner have a size that is measured in degrees
sine is not itself degrees but is related
I can't imagine the sine how thry measure it
Is it illusion quantity
If sine is a ratio then the degree ia a ratio too
sine is a ratio formed by two sides of right triangle
right triange has angles at corners formed by pairs of sides
degree is the measure of the size of the angle at a corner
degrees can be directions too
like if north is 0 degrees then east is 90 degrees b/c east is a right-angle turn from north
So is sine same as degrees
no
sine is related b/c any right triangle with one angle with x degrees means other angle is 90-x degrees
all right triangles with angle sized x degrees are similar
since triangles are similar then ratios reduce to same values
What if the degree is 25 or 170 or 35? What will happen
what do you mean by something 'happening'?
#181 Re: Help Me ! » Degree of angles » 2023-10-17 05:00:32
I always stuck in degree of angel
I don't know the meaning of 90 or 45 or 30Is it a the length of traingle?
I am cery simple in measure i know how to measure
Area or distance using a roller
But what is 90 is it a quantity of two sides of a triangle
Sometimes i can see in my bare eyes the length of something easily
But when i see degree i get confused
Also what is sine of a degree
90 degrees is a right angle so sides meet perpendicular
45 degrees is half of that
think the angle made by corners of a picture frame
30 degrees is a third of 90 degrees and 2/3 of 45 degrees
the numbers are just sizes of angles
you can have angles of any size ('measure')
lengths are for sides of triangles
the sides have angles between them
like if | and _ are sides then |_ makes 90 degree angle
to measure angles you use a protractor
sine of 1 degree is 0.01745240643
#182 Re: Guestbook » do people still use this forum » 2023-10-17 02:16:41
for prob solving here youre not allowed to answer more than one prob/day
This is NOT true. Check the facts.
okay
Post only once a day on a topic. Not more than that.
Once again, I wish to inform you post once a day, not more. Strictly.
sorry i misunderstood you
please clarify?
thanks
#183 Re: Guestbook » do people still use this forum » 2023-10-16 05:54:56
do people still use this forum, i was looking for math forums with an emphasis on problem solving recently but lots of them seem either inactive or mostly content based, thx
hardly any students post here
for prob solving here youre not allowed to answer more than one prob/day
#184 Re: Help Me ! » Ratio. Direct Proportion. Amounts change causing ratio to change, etc. » 2023-10-12 08:35:10
Jane and Kim own some marbles in the ratio 5:6
Jane gains 2 more marbles and the ratio is now 7:8
How many marbles do each of them own initially?
the ratios tell you that there is some factor that divides out of jane/kim
the first ratio simplifies as jane/kim = 5/6
the second ratio simplifies as jane/kim = 7/8
try common denominators
5/6 = 20/24
7/8 = 21/24
not 2 apart
try other common denominators
#185 Re: Help Me ! » Solving equations using ratio » 2023-10-12 08:29:23
6x^2=7xy+20y^2 where x>0 and Y>0
Find the ratio of x:y
I was thinking, rearrange? Simplify? Factorise?
i tried rearranging & it helped
solve this for y in terms of x
the 'y>0' restriction will tell you which root to use
then you can do x/y but replace 'y' with the sol'n to the quadratic
interesting problem
thanks for sharing
#186 Re: Help Me ! » Describe Set of All Points » 2023-10-12 01:00:02
A. Plot the points (0, 3), (1, 3), (-2, 3), and (-4, 3).
B. Describe the set of all points of the form (x, 3), where x is a real number.
how does your book do similar examples?
like are you supposed o do set notation or maybe a line equation?
The textbook does not give examples for every problem.
Do you have a hint for me or not?
my hint was to check the book to see if they showed what sort of sol'n they want
like i said, theres more than one way to answer this
they say 'set' so i guess use set not'n
{(x,y) in RxR | x in R, y = 3}
#187 Re: Help Me ! » Find All Points » 2023-10-12 00:55:42
amnkb wrote:(4 - 0)^2 + (-3 - y) = 6^2
I think you need
Bob
i dropped the 'square' on the second parenthesis
thanks for catching that!
#188 Re: Help Me ! » Find All Points » 2023-10-11 11:15:42
Find all points on the y-axis that are 6 units from the point (4, -3).
Any hints?
do distanceformula like they showed in the book
'on the y axis' means x=0 so points have x=0
you have D^2 = (4 - 0)^2 + (-3 - y) = 6^2
solve for y
#189 Re: Help Me ! » Describe Set of All Points » 2023-10-11 11:13:09
A. Plot the points (0, 3), (1, 3), (-2, 3), and (-4, 3).
B. Describe the set of all points of the form (x, 3), where x is a real number.
how does your book do similar examples?
like are you supposed o do set notation or maybe a line equation?
#190 Re: Help Me ! » Find Distance Between Two Points » 2023-10-11 11:11:43
#191 Re: Dark Discussions at Cafe Infinity » Twinkling of An Eye » 2023-10-11 11:07:29
Now, back to mathematics.
back to math -- math runs on definitions
what is your precise definition of 'eye twinkle'?
i couldnt find a definition thru google,,,
Whatever speed a TWINKLE is, it will happen that fast. Those in Christ will be, as Paul said, CAUGHT UP to meet the Lord in the air. I think the twinkling of an eye cannot be measured by mathematics. The entire event that Paul talked about is a supernatural event performed by a supernatural being that we call God.
ok
you started this thread wanting to figure out how long a 'twinkle' is
can we get back to the mathematics of that?
in order to help you find an answer, we need your definition of 'twinkle'
thanks.
#192 Re: Dark Discussions at Cafe Infinity » Pi & the Bible » 2023-10-11 11:02:03
1.The Bible is 66 books long (if you include both the Old and New Testaments).
2. The Bible has been known to interpret itself.
3. Wrong interpretation of the Bible happens when people try to read the Scriptures like a college textbook or magazine.
4. The Bible is a Holy book about a Holy God.
5. More than 50 percent of Bible prophecy has been fulfilled proving that the Bible is the flawless Word of God.
ok; not sure what tis has to do with the math of pi?
#193 Re: Dark Discussions at Cafe Infinity » Pi & the Bible » 2023-10-11 01:03:16
Pi & the Bible
https://www.biblegematria.com/pi-and-the-bible.html
bible is a big book
if you try hard enough you can probably invent whatever meaning you want from it
article reads like maybe trying to hard
try this: https://www.purplemath.com/modules/bibleval.htm
no need for reading hebrew or inventing number puzzles from characters etc
#194 Re: Dark Discussions at Cafe Infinity » Twinkling of An Eye » 2023-10-07 07:17:04
There is a difference between a blink, a twink and a wink.
My question is:
Mathematically speaking, how fast is the twinkling of an eye?
a 'moment' means about 90 secs
how are you defining 'twinkling of an eye'?
some [people] say its a blink
other s say its the time for light to pass thru the lens, reflect off the back and bounce back out
either way its loads shorter than a moment
I define TWINKLING OF AN EYE as a faster time than wink or blink.
ok thats two things that a twinkle is not but not what a twinkle is
Now, back to mathematics.
sry i only mentioned 'preachers' because you were talking about religion stuff
ive edited that out
back to math -- math runs on definitions
what is your precise definition of 'eye twinkle'?
i couldnt find a definition thru google so i'm asking you
thanx
#195 Re: Help Me ! » Is (x - c) a Factor? » 2023-10-07 02:33:01
3x^4 + x^3 - 3x + 1; x + (1/3)
synthetic division: -1/3 | 3 1 0 -3 1 | -1 0 0 1 +-------------- 3 0 0 -3 2
Nicely-done on the long division. Can this be done using synthetic division?
yes
synthetic division:
-1/3 | 3 1 0 -3 1
| -1 0 0 1
+--------------
3 0 0 -3 2#196 Re: Dark Discussions at Cafe Infinity » Twinkling of An Eye » 2023-10-07 02:20:29
There is a difference between a blink, a twink and a wink.
My question is:
Mathematically speaking, how fast is the twinkling of an eye?
a 'moment' means about 90 secs
how are you defining 'twinkling of an eye'?
some preachers say its a blink
other s say its the time for light to pass thru the lens, reflect off the back and bounce back out
either way its loads shorter than a moment
#197 Re: Help Me ! » Is (x - c) a Factor? » 2023-10-05 07:35:32
I like Henry Winkler. By the way, Henry was a lousy pupil according to him.
he has dyslexia which i guess nobody knew about when he was a kid
3x^4 + x^3 - 3x + 1; x + (1/3)
synthetic division:
-1/3 | 3 1 0 -3 1
| -1 0 0 1
+--------------
3 0 0 -3 2long division:
3x^3 -3
+----------------------------
x + 1/3 ) 3x^4 + 1x^3 + 0x^2 - 3x + 1
3x^4 + 1x^3
----------------------------
-3x + 1
-3x - 1
--------
2#198 Re: Help Me ! » Find the Sum » 2023-10-05 07:24:32
thats what i get
#199 Re: Help Me ! » Factorising a quadratic expression where the a term is greater than 1 » 2023-10-05 07:22:25
Example: 2x^2 + 9x + 4
My way of doing this would be to write out a pair of brackets, 2x^2 in one, x in the other. Then list the factors of 4. Then choose the pair that will give 9 when one of the pair is multiplied by 2, and the other one is multiplied by 1. In this case the pair would be 4, and 1. So:
(2x^2 +1) (x+4)
but this doesnt multiply back to what you started with
you'll get 2x^3+8x^2+x+4
But I've been shown a new method which is puzzling me.
Step 1. Multiply the a term by the c term (the 2 by the 4) to give 8. Then write out a pair fo brackets but his time put 2x in both of them, like this:
(2x ) (2x )
where did you see this?
youre right its confusing!
#200 Re: Help Me ! » Find the Sum » 2023-10-03 02:10:59
agree