Algebra 1 problems. I need help Today, it's really urgent?

Ok, so I need some help with these Algebra 1 problems. I just can't figure them out, and my text book doesn't show me how to do these problems. I need the answers today, so please help me if you can. I know that this is last minute, but it is urgent. Thanks so much in advance. Here are the problems:

9.) Two numbers, 4 and a, have a geometric mean of 12.
Find the value of a.

10.) Two numbers, 3 and a, have a geometric mean of 9.
Find the value of a.

11.) Solve the equation by completing the square:
x^2 + 2x = 3

12.) Solve the equation by completing the square:
x^2 + 8x = 14

15.) Find the distance between the two points:
(5,8), (2,4)

16.) Find the distance between the two points:
(7,12), (1,4)

19.) You and a friend go biking. You bike 12 miles north and
2 miles east. What is the straight-line distance from your
starting point? Round answer to the nearest hundredths.

22.) A company had sales of $500,000 in 1996 and sales of
$720,000 in 1998. Use the midpoint formula to find the
company's sales in 1997.

Please help! The sooner you reply, the better. Thanks a lot!

Julian2011-08-27T14:14:36Z

Favorite Answer

9.) square root(4•a)=12
4a=144
a=36
Geometric mean is also the middle of the two numbers but with multiplication. So 12/4 wold be 3; multiply by 12 to get 36. Then repeat for #10.

11.) x^2+2x=3
use (b/2)^2
(2/2)^2=1 add it
x^2+2x+1=4
(x+1)^2=4
x+1=plus or minus 2
x=-3 or 1
Repeat for #12

For 15 and 16 you have to use the formula d=sr(square root)[(x1-x2)^2 + (y1-y2)^2]
Just plug in the numbers and solve.

19.) You use the Pythagorean theorem.
12^2 + 2^2=c^2
144+4=c^2
148=c^2
c~12.17 miles

22.) They're simply asking to find the mean.
(500,000+720,000)/2=$610,000

Hello :D2011-08-27T20:51:05Z

9.) Two numbers, 4 and a, have a geometric mean of 12.
Find the value of a.

Geometric means you would need to do something like this: 4 Over 12 = 12 over A. Cross multiply.

15.) Find the distance between the two points:
(5,8), (2,4)

Use this formula under the rad sign. (x2-x1)^2 + (y2-y1)^2

http://en.wikipedia.org/wiki/Distance