You're welcome - And, Thank You! Thank you for your reply, as well.
We had a review in class today and while he didn't go over this specific problem, he did review similar ones... and it just *clicked* - and I feel like SUCH and idiot... Substitution!!! I needed to substitue a^2 - 6 for a variable... then find the value of the variable then plug it back in and find the real solution. It seems so easy now and I don't know how I missed it. It's as though I just *Forgot* about the option of substitution - I was so focused on factoring and grouping!
Thank you so much for your willingness to help.
I was just directed to this website for the first time, last night. I am sure I will be asking questions as well as trying to help others with questions that I actually understand!
However, I *am* the type of person... I don't want someone to just give me the answer, I want to Know, Learn, and Understand how to work the problems. It doesn't do me any good to just have answers if I can't work the problems on my own.
( That's why I have no problem making it clear that if I'm asking for help, I've already tried everything I can think of and just don't know where I'm going wrong)
I had an exam today and only missed 3 questions. there were 2 questions on finding the distance between two points and two questions on finding the midpoint between two points. I arrived at the correct answer for ONE of the midpoint questions but not the other, and did not arrive at the right answer for either distance problem. I double checked my work on my scratch paper afterwards and I still don't know what I did wrong. I'm wondering if maybe I thought i knew the formulas but don't? Unfortunately, our exams are administered via a computer system and we are not allowed to remove our scratch paper from the Math Lab - so I can't give exact problems...
However, Could you (or someone) tell me if I'm using the wrong formula(s)?
To find the distance
between two points on a graph:
d= (Y2-Y1)^2 + (X2-X1)^2 .. all on right side of the = is under the square root sign. (Sorry, I don't know how to SHOW this)
so if two points were.. (I'm pulling this out of the air) (2, 3) and (4, 5)
d= square root of (5-3)^2 + (4-2)^2 ..... d= square root of: 2^2 + 2^2 ..... d= sr of 4+4 so d= Square root of 8 ... SR of 4 * SR of 2 so 2SR2 (if you can decipher what I'm trying to say)
m = ( (Y1+Y2)/2 , (X1+X2)/2 ) so same points as above would be:
m = (2+4)/2, (3+5)/2 ... so m = 6/2 Or 3 and 8/2 Or 4 so the midpoint is : (3, 4)
Am I doing something wrong?
Thank you so much, Again!
I have a few more questions that I'll try to resolve tomorrow on campus as it is VERY late and I've had only 2 hours of sleep in the past 2 days