Mathematics - 22 July 2007

A triangle has the following properties:
1) It is scalene
2) It does not contain a right angle.
3) It has interger length sides
4) Its area is an integer.
Find the triangle with these properties which has the least perimeter.

[ Use Heron's Formula for the area of a triangle with sides a, b, c: where area = square root of s(s-a)(s-b)(s-c) where 's' is the semi perimeter (a+b+c)/2 ]



Any working would be greatly apprecicated. It's due tomoro, HELP PLEASE!!! (i shall giv thanks and best answer!!!:D:D:D)

2007-07-22 23:50:19 · 2 answers · asked by Anonymous

1a) Solve the equation 1 + 2/x = 3/2.

1b) Given that a = square root b + 2 / c,
express b in terms of a and c.

1c) Express the following as a single fraction, in its simplest form,

(i) K^2 - k / K^2 - 1.
(ii) 1 / x - 3 - 2 / 3 - x.

Solve these questions correct with detailed workings and earn points!!! :)
The lucky person with the best answer will be voted as the "BEST ANSWER".
Voting of the best answer will take place after 4hours!!.

2007-07-22 23:29:59 · 5 answers · asked by Anonymous

I don't understand this... why do i use (4/2)^2 in the next problem
Identifying the Vertex of a Quadratic Function
example
Describe the graph of f(x)= 2x^2+8x+7 and identify the vertex.
solution
write the quadratic function in standard form by completing the spare. Recall that the first step is to factor out any coefficient of x^2 that is not 1
f(x)=2x^2+8x+7
f(x)=2(x^2+4x)+7
f(x)=2(x^2 + 4x + 4 - 4) +7 ----------------------->because b=4, add and subtract (4/2)^2
f(x)=2(x^2 + 4x +4) - 2(4)+7
= 2(x+2)^2-1
From standard form, you can see that the graph of f is a parabola that opens upward with vertex (-2,-1)

Identify the vertex and x-intercepts(s).
#1
f(x)=x^2 - x + 5/4

I tried to factor it... (x- ) (x- ) but I could not figure out what times what is 5/4
the answer is the following but it want to know how to do this.
Vertex: (1/2, 20)
x-intercept: none
and a graph

# 2
f(x) = -x^2+2x+5

2007-07-22 23:09:02 · 7 answers · asked by simpukka 1

if so then 1 foot is not exactly 12 inches. i read in a maths book that 30cm = 1 foot then why is 180cm not 6ft ??
180 is said to be 5'11''

2007-07-22 22:33:42 · 14 answers · asked by Anonymous

2007-07-22 22:33:24 · 4 answers · asked by Davril Evans 1

1. A timber fence is to be built on sloping land, with the shortest piece of timber 1.2m and the longest 1.8m. There are 61 pieces of timber in the fence.
a) what is the difference in height between each piece of timber?
b) What length of timber is needed for the fence altogether?

2007-07-22 21:44:18 · 3 answers · asked by loza 2

<= means smaller or equal

Thank you.

2007-07-22 21:27:10 · 5 answers · asked by Amir 1

<= means smaller or equal

Thank you.

2007-07-22 21:09:12 · 4 answers · asked by Amir 1

2007-07-22 20:33:47 · 11 answers · asked by michelle h 1

2007-07-22 20:33:44 · 8 answers · asked by Anonymous

1.The sum of four consecutive two-digit odd numbers, when divided by 10, becomes a perfect square.Which of the following can possibly be one of these four numbers ?
a.21 b.25 c.67 d.73


2.The number of solutions of the equation 2x+y=40 where both x and y are positive integers and x=or < y is :
a.7 b.13 c.18 d.20


Please help me, with the derivation too, I am not able to solve it, I tried so much and need help.
Thank you vey much.

2007-07-22 20:27:41 · 5 answers · asked by heartywalk 2

.... letters or digits such as; 42cc,66qq,bb44, cc77?
Using numbers 0 through 9 and letters a through z

2007-07-22 20:25:42 · 3 answers · asked by donna2mph_K 2

2007-07-22 20:14:54 · 5 answers · asked by jennifer f 1

2007-07-22 20:12:49 · 2 answers · asked by jennifer f 1

Ve^(-.001/x) = 0.5V ======> e^(.001/x) =2. I got this out of the solutions manual to my circuits class.

2007-07-22 20:12:15 · 2 answers · asked by tegra977 1

can you explain the steps or how you did it... thank you very much...

2007-07-22 20:11:43 · 4 answers · asked by Anonymous

2007-07-22 20:10:24 · 3 answers · asked by Anonymous

What is the difference between an independent and dependent variable for statistics? How can you tell which is which? Please give me some examples.

2007-07-22 19:34:26 · 3 answers · asked by chibagrll 1

(This is a basic but very fundamental question about terminology, so no stupid or disrespectful answers please.)

To how many decimal places accuracy is an approximation 'a' to a quantity 'x'?

Specifically tell me your answer to this example:
a = 3.16
x = pi = 3.14159...

Note that to 1 decimal place, a≈3.2, whereas x≈3.1
So: which of the following would be correct:
"a is x correct to 0 decimal places"
or:
"a is x correct to 1 decimal place"

What is confusing is that the error ε = a-x = +0.0184
which is < 5x10^-2, thus implying an accuracy of 2 dps.
Explain all that if you can.

Explain the reasoning behind your response clearly (and get your terms correct).

2007-07-22 19:08:38 · 4 answers · asked by smci 7

2007-07-22 19:00:45 · 20 answers · asked by Anonymous

2007-07-22 18:45:28 · 8 answers · asked by Anonymous

2007-07-22 18:14:57 · 3 answers · asked by inquisitive thinker 1

If someone could help me figure out how to answer this problem and problems like it I would appreciate it. Here it is

Describe the graph of the equation
x^2+y^2+2x+2=0

2007-07-22 18:10:04 · 2 answers · asked by Anonymous

solve and give answer to nearest tenth
x^2 + x + 1 = 5

also, find the x intercepts of
y = sin(2x) where 0 degrees<=x<=180 degrees

thanks for the help! :)

2007-07-22 18:08:07 · 3 answers · asked by Anonymous

"Tom and Jerry have cereal every morning. It would take Tom alone 6 days longer to finish a whole box of cereal than it would take Jerry. Together they eat the whole box in 4 days. How many days does it take Jerry to eat the whole box?"

Here's what I did:

x= Jerry's rate
x+6 Tom's rate

In a day Jerry does 1/x of the job and Tom does 1/(x+6) and together the do 1/4 of the job so

1/x+1/(x+6) =1/4
multiply both sides by (x)(x+6)(4)
4(x+6)+ 4x =(x)(x+6)
4x+24+4x=x^2+6x
8x+24=x^2+6x
24=x^-2x
0=x^2-2x-24
(x-6)(x+4)
x=6 or x=-4
Since you cant have -4 days.. it would take Jerry 6 days

Did I do this right?

2007-07-22 17:53:40 · 6 answers · asked by Anonymous

I have never dealt with logarithms before and they just popped up in my Chemistry class. Here's the problem:

ln (2/x) = 1.1

My book says to take the inverse of both sides, which gives you this:

2/x = 3

Can anyone explain this to me? I need to understand it so I can solve future problems. Thanks!

2007-07-22 17:47:56 · 7 answers · asked by greensock 5

I have to figure out this problem by using the Gauss - Jordan elimination method (matices)...but when i do it, it's not adding up with the answer in my book. Here's the problem :

x +2y - 3z = 1
2x - y +2z = -8
3x - y -4z =3

The answer in my book is (-1,2, -2). Please help!

2007-07-22 17:42:38 · 2 answers · asked by magichamburger22 2

If 2x^2+4x=-3 is being solved, what is the value of x? Showing all steps to solve this will be very helpful. Thank you.

2007-07-22 17:36:46 · 5 answers · asked by jumba 1

Ok, this is a somewhat complicated first order equation but if you can help me out, it'll be a big help. A recent college graduate borrowed $100,000 at an interest rate of 9% to purchase a condominium. Anticipating steady salary increases, the buyer expects to make payments at a monthly rate of 800(1 + t/120), where t is the number of months since the loan was made. a.) Assuming that this payment schedule is maintained, when will the loan be fully paid? ANSWER = 135.36 months. b.) Assuming the same painment schedule how large can the loan be paid off in exactly 20 years? ANSWER = $152698.56. How do you get this?

2007-07-22 17:31:01 · 1 answers · asked by Charlie4590 2

Here f is a function that returns the number of times a number is wholly divisible by 2, i.e. the number of times a number is divisible by 2 until it becomes an odd number.

Assumptions:

f accepts only zero or a positive integer
If x = 0 or x is an odd number then f(x) = 0

a, b and n are positive integers
a, b are odd
n is even
a > b

I would very much appreciate methods for this kind of problem. Thanks in advance!

2007-07-22 17:17:38 · 1 answers · asked by semyaza2007 3