gwenspooner85

To calculate appreciation as a dollar amount, subtract the initial value from the final value. To calculate appreciation as a percentage, divide the change in the value by the initial value and multiply by 100. For example, say your home was worth $110,000 when you bought it, and now its fair market value is $135,000.

Could you please put in Latex??

I've done multiple classes...doing intro to geometry and AMC 10 problem series right now.

I do.

It looks like it's intro to geometry? 

Not sure about the first, but for the second:

We can apply the pythagorean theorem to this. The hypotenuse must be 6a+1, and the two legs a+1 and 6a.

\(a^2+b^2=c^2\\ (a+1)^2+(6a)^2=(6a+1)^2\\ a^2+2a+1+36a^2=36a^2+12a+1\\ a^2+2a+1=12a+1\\ a^2-10a=0\\ a=0, 10\)

We find that a can be 0 or 10. However, the only correct value is 10 because if we plug in the value 0 into the given sides, one of them will have a side length of 0.

We know one of the numbers is negative and another is positive. Negative x positive number always results in a negative number. Therefore the sign of the product is minus.

qwertyzz, it's okay if you need help but dumping 4 questions for someone to do in a post is a bit too much. 1-2 is fine. From here it's clear that these are pretty much homework problems you need to submit before a due date.

a is the slope and b the y intercept. We solve for the slope first. Plugging the points into the slope formula, we find that a is 6/4=3/2. So now we have y=3/2x+b. Then we plug in either of the given points to solve for b. 

y=3/2x+b

5=3/2(4)+b

5=6+b

b=-1

Therefore the equation of the line is y=3/2x-1.

\(\frac{1}{3}(6z+18)=3z-9\\ 2z+6=3z-9\\ 6+9=3z-2z\\ \boxed{z=15}\)