OofPirate

Here is a tip before posting in this forum for an answer: 

Graph it out! https://www.desmos.com/calculator is a good graphing calc

Look at the graph, and it's easy. try it out!

Your welcome! Have a nice night or day or afternoon! 

well, I came back again to this site. 

you see the first and the last equation?

Subtract them such that the 3y is canceled out. 

$x+3y+2z-(-2x+3y+z)=1-7$
$3x+z = -6$

Neext, multiply the middle equation by $3$ to make $-9x+3y+15z=30$.

then, subtract the last equation from it to get: 
$-2x+3y+z-(-9x+3y+15z) = 7-30$
which is equal to $7x-14z=-23$

So here are the two equations we have: 

$3x+z = -6$

$7x-14z=-23$

Take the first equation and find z, which is $z=-6-3x$. Put the Z inside the second equation, $7x-14(-6-3x) = -23$, which is $7x+84+42x = -23$, or simply $49x=-107$

So, $x$ is equal to $-107/49$

Now, find z. Insert x into the equation, and get that $3(-107/49) + z = -6$, which means that $z=27/49$. 

Insert those two into the second ever equation to find y: 
$6 and 27/49 + y + 2 and 37/49= 10$, which in the end is equal to $y=9 and 15/49$

so the answer you seek is $(-107/49,27/49, 456/49)$

The answer to your problem is

Perhaps you message the owner of this forum, 

https://web2.0calc.com/imprint/

To add to the above: 

All of those terms are polynomials, which means many-nomials.

A monomial counts as a polynomial with one term.

I believe that the answer is 119g

$x-\frac{120}{4.3}=-0.25$

$x-120=-1.075$

$x=118.925\approx119$g

Just like what Chris said, PQR is an inscribed angle, and by definition, an inscribed angle is equal to 1/2 the measure of the arc it contains. 

Therefore, 1/2 * 154 is 77, just like NaturalDisaster and CPhill had said. 

Thanks! It was correct! I had the concept of the conjugate from complex numbers, but I didn't know much about the variables itself!

Turns out that the Microsoft scientific calculator is a powerful tool. You can calculate 2^2012, then use mod 10 on it to get the answer of: 

nope not going to tell you Try it!

I like how you assigned coordinates to each of the vertices! This is very useful for coordinate proofs! I should use that in the future

The triangle with the side length 4 also has a height of 15-3, which is 12. Using the Pythagorean theorem, the hypotenuse is 4sqrt10. 

On the other hand, we can split the quadrilateral on the left into a rectangle and a triangle, and that triangle has a base of 14-4=10 and a height of 15-3=12. Using the Pythagorean theorem, we get that the hypotenuse of that triangle is 2sqrt61.

Therefore, the length of the rope is $2\sqrt{61}+4\sqrt{10}$

True

oh! and forgot to mention: For that tool link, there's a number conversion table, so you can compare all bases up to base 36. 

http://www.unitconversion.org/unit_converter/numbers-ex.html

I didn't use an algebraic way, but I used a base change calculator, so essentially guess and check.

However I knew that the base had to be above 11, since B is not included in the Base 11 digits. 

Here's a good tool: http://www.unitconversion.org/unit_converter/numbers-ex.html

sorry, that was incorrect. Is there a way to do this problem?

Edit: Nevertheless, I realized I made a calculation mistake, and I had found that the answer is a=12

Thanks! Have a nice day!