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(x+5)^2 = 34

Thanks!

Thanks!

same thing as last one: 6s + 3l = 144 (1) and s + 3l = 84 (2).

now do (1) - (2) to get 5s = 60 so s = 12. plugging back in you can see that l = 24.

so the answer is

The small balloon bouquet uses 12 balloons and the large one uses 24 balloons.

so you have the equations 10s + 4l = 572 (1)

and 10s + 9l = 837 (2)

(2) - (1) makes 5l = 265 so l = 53.

now you calculate s from this, so s is 572 - (4 * 53) over 10.

4 * 53 is 212 and 572-212 is 360 and 360 / 10 is 36.

so s = 36 and l = 53.

so the answer is

Yoshi uses 36 nails to make each small bookshelf and 53 nails to make each large one.

intersects is basically where you have two linse that cross.

for example, two lines that do not cross do not intersect, but two that do cross intersect.

in this case, you would need to linse that intersect at a right angle.

basically you could just draw two lines on top of each other and then turn one a quarter of a circle, because a full circle is 360 degrees and 90 degrees (or a right angle) is 1/4 of that.

im gonna give a hint, but since i cant draw it, i can tell you what to do.

so you need to split it up into rectangles and 45-45-90 right triangles, and it gets easy.

can be a little puzzle for you :P

Thank You..is there any way to show me what you mean?

so me, rom, gingerale, and tertre do not count.

ok then.. i see..

draw  a line that goes through p and intjersects CD at a right angle.

this is what perpendicular means.

HOPE THIS HELPED!

29 + 13s = 43 + 12 s       where s= number of smaller arrangements.

s=14

cost is    29 + 13(14) =$  211

Largest base 9 three digit number = 888    is 728 in base 10, largest square is 26^2       26 is   28 in base 9

Is the '*' supposed to be mulitplication, or am I mistaken?

5x(v+6)= 5xv+30x

I believe that it's 11!, but don't fully take my word for it. 

In fact, this is an application os stars and bars, so \(\binom{8+4-1}{3}=\binom{11}{3}=\boxed{165}.\)

You are looking for the number of permutations when you pick three things from a group of thirteen.

So
\({n! \over (n-m)!}\) where n=number of things in group and m=number of things you want to pick

\(x = {13! \over (13-3)!}\)

\(x = {13! \over 10!}\)
13*12*11

1716

Why does it work like that?

--->
Which one is going to be the bait?
One of these 13 people.
Which one is going to be the hook?
One of these 12 people that are not the bait already
Which one is going to be the bandit?
One of the 11 people left.
​So you have 13*12*11=1716 possible handshakes

Should look like this...

FV = 100 (1+.10)^5 = $161

Should look like this:

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Just copy the link here.