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(1+-7)   +  (3i-15i)

   -6     - 12i

I won't tell you which ones....but I WILL tell you how to figure which ones are

Pyhtagorean theorem says   hypotenuse²  = leg1²  + leg2²

    hypotenuse will big the longest of the three measures

Example :    First one

     does     34²  =  16²  + 30²         I do not know....but if it does...it is a Pythag triple !

                                                           Now....YOU have to do that for all of the choices !     Tedious....but it makes it memorable

OMG! I USED TO FEEL LIKE THAT TOO! (Keywords:USED TO)

I was originally doing Kumon, and I felt like I couldn't get any farther with Kumon, so I quit at level H. I then discovered alcumus, like you. My dad encouraged me to do alcumus, and mathcounts trainer as well, and one day, we found out a way to enroll in CLASSES on AOPS. There are SEVERAL different classes, like algebra A and B, intro to Geom, AMC 8, 10, and 12 classes, number theory, probability and counting, etc. I feel like the classes REALLY helped. Tbh, I am only 11, I just REALLY like math, (spend like 1 hour on here a day, 30 minutes school math, another 30 minutes for class homework and alcumus), and I've been improving at an alarming rate. All you have to do is make an account if you haven't already, and look up on your screen, and you will see a few options, hover over online school(If you are on computer. If you are on iOS or android then press it) and select Course catalog. There, you will find a lot of different options of classes. You can press one you feel like doing, and to the right of the summary, there are two links, one to see if you are ready for this class, and one to see if you need it at all. You can keep doing these mini tests, and find one that you are both interested in, and suits you. If there are things you don't understand in the "do I need this" section, then by the end of the course, you will understand it. Hopefully this is helpful, although it is lengthy.

5 entrees x 6 sides x 7 drinks =   5 * 6 * 7  choices =...........

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

I love this website a lot. :))

I think that the people here are very nice, except for the people who use this website to cheat on tests and hw. 

The reason I think I've plateaued is cause I've been scoring pretty poorly on the past competitions that I've done. 

Recently, I did the MathCounts Chapter Invitational and didn't qualify for state. 

I was quite upset because I thought I would, but I made a bunch of mistakes on the test. :((

=^._.^=

I'm really into computer science, so I might want to do that. 

Engineering sounds really cool, but I'm really bad when it comes to building. 

When I start high school, I'm going to try to figure out what I want to do as a career. 

=^._.^=

P.S.  It WILL seem like you have plateaued if you spend a lot of time on here....it gets quite repetitive !

Well..... Look into physics or engineering .....LOTS of advanced math !    ....and you can be a MATH MAJOR too....

ef = -15      e is negative

eg = 6         g is negative too

fg = -10        f is positive

f = -15/e

g = 6/e

fg then becomes   -15/e  * 6/e = -10         -90/e^2 = -10

                                                                   e^2 = 9     take the negative root (e is negative) = e = - 3 

ef = -15      then f = 5

5 (g) = -10     g = -2

Thank you. :)))

I shall continue trying, and hopefully one day, I will be good. 

College sounds so scary and far away right now. 

I know I want to do smth with math, but I'm not sure what yet. 

=^._.^=

ef = -15

eg = 6

fg = -10

We can multiply everything together. :))

ef*eg*gf = 900

efg = 30 (square root both sides)

To solve for g:

efg/ef = g

30/-15 = g

g = -2. 

To solve for f: 

efg/eg = f

30/6 = f

f = 5

Can you solve for e?

Good luck. :)))

=^._.^=

It just comes with time and more courses       algebra    geometry      trigonometry       calculus    physics      advanced apllied math                      diferential equations        number theory    and on

    and lots of college courses (engineering ) use a LOT of math ....then you will really start expanding......  keep at it !

A way to do this is to put it like (x+7)(x-1)

This is cause -7+7 = 0 and 1 - 1= 0. 

To simplify:

(x+7)(x-1)

x^2 + 6x - 7

=^._.^=

expand to 

1/4 ( x^2 -4x+4) +3

 = 1/4 x^2 -x+4

I think the letter G is the only one in the region. 

https://www.desmos.com/calculator/hoqdfgw9v3

Here's a graph I made. 

You can also plug stuff in. G = (-3, 5)

5> (-1/2)-3 + 2

5> 7/2

So that works, but it's quite slow. 

=^._.^=

Just a sphere or radius 2      added   to cylinder  radius 2   height 3

sphere volume = 4/3 pi (2³⁾

cylinder volume  = pi 2² 3       add them together

if z = a + bi

conjugate z = a - bi

(a+bi)(a-bi) = a^2 +b^2

a = -3

b = 5. 

(-3)^2 + (5)^2 = 34. 

I hope this helped. :))

=^._.^=

18% = 18/100 = .18. 

So, what's 18%*2100?

Try to solve that your self. 

If you have a calc, just plug in .18*2100 = 378

If you need to do it by hand, use the fraction version, 18/100*2100 = 18*21 = 378

I hope this helped. :))

=^._.^=

.18 * 2100 = .......... ft ²

First find the midpoint    4, 3

Find the slope    (2-4)/(1-7) = -2/-6 = 1/3

   perpindicular slope = -1 / 1/3   = -3

point slope      (y-3) = -3(x-4)       Re-arrange to get to y = mx + b form   

Plot the points ....should be easy to find perimeter then:

Slope =   rise/run  =   (y1-y2)/(x1-x2) between two points

Find two easy points   -2,-1    and   2, 0        rise / run = 1/4 = slope

This is really tedious to sustitute in all of the points to see if they satisfy the equation....here is an easier way....plot the line:

The other intercept will be the same distance from the vetex  BUT ON THE OTHER SIDE OF THE VERTEX

9,0         x = 9