Math Is Fun Forum

Thanks Relentless

Or, refer to my method!

Let s and t be solutions to the Quadratic

From the Quadratic Equation, we can split the ± sign so that each corresponds to s or t. In other words,

and

.

Adding them together gives

. The Square Roots cancel out to get

and simplifying gives

.

Similarly, multiplying them will get you

Go to here: http://www.mathisfunforum.com/viewtopic.php?id=22858

Oh this is going to be long...

(1) In

, the LCM (Least Common Multiple) is

. So multiplying 3x-2 by x-2 and 2 by x+2 gives

.
Simplifying gives us

. Which gives us answer choice D

(3) Cross multiplying gives us

. Moving like terms to one side and constants to the other gives us

. So

(4)

. Plugging that in gives us

. Pretending that (x-1)(x+2) is one variable, we can factor it out to get

Dividing and simplifying gives us

which is answer choice C.

(6) Trigonometry... eheu! (Latin for Oh Dear!)
I noticed the 3 and the 5 in

, so I thought of a 3, 4, 5 right triangle. Drawing one, we see that the

is the angle between the hypotenuse of length 5, and the leg of length 4.

So

. Which is in this case, is answer choice E.

The answer choice is also less than

in case you were wondering.

For the following:

(1) I got (D)

(3) I got (B)

(4) I got (C)

(6) I got (E)

Do not look below if you do not want to see the answer! Cheat at your own risk!

I am getting an answer of not 220, but a surface area of 245.

Also, how do you do the [Hint] tab that leads you to a new page with the answer? Bobbym does this all the time.

... ok too much information!

Anyhow, next question:
One morning, each member of Angela's family drank an 8-ounce mixture of coffee with milk. (NASTY!) The amounts of coffee and milk varied from cup to cup, but were never zero. Angela drank a quarter of the total amount of milk and a sixth of the total amount of coffee. How many people are in the family?

This really seems impossible to me... Also, please provide work because I want to see how you accomplished this fantastic feat!

Gaussian Elimination looks very complicated. Wonder how Gauss did it in his sleep.

Thanks guys! Really appreciate it.

I'm going to look up the Gauss method thing. Seems interesting!

Thanks man!

Can you list the answer choices? I am getting 28/3 too.

Could it be an answer choice error?