ilorty

Oh...yes....

That would be believeable....

if you did not post these questions:

Why SHADOWwolf, have you even bothered to read the private message I sent you? If you haven't, go read it, and do as it says.

We can think of this as a 6 letter word:

_____    _____   _____   _____   _____   _____ 

Each number I put for each space is the number of possibilities for that space:

2 (A or M)       10 (0 - 9)       10 (0 - 9)      10 (0 - 9)     10 (0 - 9)     10 (0 - 9)

_________    _________    ________   _________   ________    ________
 

So, this is:

2 * 10 * 10 * 10 * 10 * 10 = 2 * 10 ^ 5 = 200000

this method is very similar to the previous questions you have asked. why is that so? if you bothered to read by previous answers (step by step) and not just the number, you could have done this yourself.

:)

First, we need to "rationalize" the denominator, but instead of square roots, we use 8i.

-1 - 4i / 8i (8i / 8i)

This is:

-1 - 4i / 8i (8i / 8i) = -1 - 4i ( 8i ) / 8i ( 8i) = - 1 - 4i ( 8i ) / - 8 = - 8i + 32 / - 8 = -8i / -8 + 32 / -8 = -4 + i

Now you should very well know what a and b are.

:)

If (x - 3)(4x + 9) = ax^2 + bx + c, then find a + b + c.

When you see a factored form going into a quadratic, what do you do? Of course, you multiply!

(x - 3)(4x + 9)

How do you multiply, you ask? Remember 5th grade, when the teacher taught all about the distributive property? This is just like that: you take one variable from one group, and multiply it with the other two from the other group.

x * 4x = 4x^2

x * 9 = 9x

-3 * 4x = -12x

-3 * 9 = -27

So, now that we multiplied, what do we do? Did you just say, Combine Like Terms? If you did.....you are correct! So...combine we go:

Degree 2: 4x^2

Degree 1: 9x - 12x = -3x

Constant: -27

Together, this is 4x^2 - 3x - 27.

But, that is not what we are looking for, right? We want to find a + b + c. Is that hard? No:

4 - 3 - 27 = -26

There you go, you have the answer. 

The takeaway:

Whenever you see that something should be expanded, EXPAND IT! (unless you could use the binomial theorem or specified)

:)

I think what guest is doing is trying to show the picture. But...he/she did not realize that the picture needs to be a .jpg or download, NOT any regular link. Guest could have checked, because if there was a red x in the preview instead of the picture, it would have come out white

:)

Do you know what "sine" means?

It is the opposite over hypotenuse.

You can think of it like:

Sine Opposite Hypotenuse Cosine Adjacent Hypotenuse Tangent Opposite Hypotenuse 

Which comes out to be:

soh cah toa

Know that, we now know that the hypotenuse of the triangle is 41, and the shorter leg of the triangle is 9. 
 

Using Pythagorean triples, we see that the is a 41, 40, 9 triangle.

this means that the tangent is 9/40, or D

:)

Does it cost that much to multiply? Maybe a few seconds...

As you see, variables can be replaced, anytime, anywhere. So...we replace the x and y in the xy with the values defined. Maybe I'm being a little too "professional" for your tastes, but here is what I am trying to say:

xy = -8 * 9

What did we do, you may ask? We replaced the variables with the defined values!

Assuming you know how to multiply:

-8 * 9 = -72

And there we go! 
 

:)

Oh dear, my teacher is going to hunt me down for such a mistake!

anyways, thanks for the reminder! I just edited my answer, happy?

@SHADOWwolf

Must be learning counting! If you'd pay attention in class, or at least even read/try the question, it come across as not very much of "HELP ASAP" worthy.

Let me spare you some time from doing your work, but you'll have to face the "doom" of reading my entire answer. Or else it would be done in vain. Maybe you'll use the few seconds I spared you to take one last look at that headless chicken you saw on the Internet. Maybe.

We begin placing each place. Use whatever you want, but for the headless chicken's sake, I will make a podium

                        ____________

                        |                       |
                        |                       |

                        |                       |___________

____________                          |                      |

|                       |                       |                      |

|                       |                       |                      |

|       3rd           |        1st          |        2nd        |

You have no idea how long that took. But I'm proud of it.

Now, for some permutations, which is just a fancy way to say: "Kids, we will learn multiplication today. Why do I bother teaching 12 year olds what they learned in second grade?"

Each number is the amount of choices for each spot:

We see there are 8 choices for 1st, 7 choices for 2nd, and 6 choices for 3rd.

8 * 7 * 6 = 336

336 possible combinations, what are the odds that I will win?

Now you may go hang out with the headless chicken 🐔 <------ i found the head!

:)

No guest! That answer is not 18, and you know it could not possibly be such a large number!

Think of the word as three spaces:

______  _______ _______
 

Now, each value on top of the spaces is how many options we can choose from:

    3             3              3

______  _______  _______

Now, multiply:

3 * 3 * 3

There! 27.

How could that possibly be 18? Last time I checked, 18 did not equal 27...

Still don't believe me? How many more can you find? Oh, so you found another one? Let me hear. ABCDEFGH? Lovely, maybe I forgot about that one....

:)