tertre

Count 9 dots from -6, and you'll land on: \(-6+9=3\) .

We can first graph it:https://www.desmos.com/calculator/zwhxypzkrb

Ughhh, answered the wrong question. Find the midpoints of sides: x1+x2/2, x1+x3/2+x2+x3/2, we already know that x1+x2+x3=10, so 10*2=20, but 20/2=10.

We can factor the denominator first: (a+2)(a-2), and leave the numerator as it is: a+3. Now, think about what undefined means, and see what value of x can fit in.

Thanks, CPhill!

We calculate, first,  pi/3=3.14/3 which is around 1.04, so ceiling function of that equals 2.

Next, the square root of 45 is greater than 6(6^2=36), and less than 7(7^2=49). Since it is greater than 4, the answer is 6.

Lastly, 8^2/3=(2^3)^2/3=2^2=4, which equals 4, Floor of that equals 4.

So, the answer is 2+6+4=8+4=\(\boxed{12}\).

Inverse function: Switch the x and y. First one: (1,-3), (-3,1)

(a) Permutations:  n!/(n-r)!

(b): Since the power is -1, we can rewrite the number as 1/that number, so \((13578)^{-1}=\frac{1}{13578}\) .

Hello, I'm back! 

\(\log_{4}3=x\), and \(\log_{2}27=kx\) .

This means, \(4^x=3\)\(2^{(kx)}=27\).

This can be broken up into: \((2^2)^x=3\) , and 

​\(2^{kx}=27\).

So, \(2^{2x}=3\), \(2^{kx}=27\).
 

Cubing the first equation, we have: \((2^{2x})^3=2^{6x}\) , and \(2^{kx}=27\).

By scanning, we can easily see that \(\boxed{k=6}\) .