So Pythagorean triples will always work with Pythagoras theorem which is a^2 + b2 = c^2 where c is the hypotenuse. So the biggest number (15) will be the hypotenuse so you must do (9^2) + (12^2) and if it is a triple you will get 15^2 so you do 81 + 144 which is 255 and 15^2 is 255 so therefore it is a Pythagorean triple because the numbers satisfy the equation. Hope this helps :)
Answer:
9
Step-by-step explanation:
Once you plot this out, you can see that it is a parallelegram with a base of 3 and a height of three. The base is (-3,-2) to (0,-2) and the height extends to a y value of 1. You can also use triangles for this problem, but I would not suggest to do so because you can solve it a lot quicker this way.
There's another way to do this, but I'm showing you what I use.
First: I would go ahead and subtract 9x from both sides of the equation. By doing that, the "9x" on the left side would cancel out and you would be left with "7=-6x-5"
Second: Add 5 to both sides of the equation. It should cancel out the 5 on the right and you should be left with "12=-6x"
Lastly: Divide both sides by -6, the -6 on the right next to the variable will cancel out and you'll be left with "-2=x" Which is the solution.
Pure gold is 24 karats.
14-karat gold is 14/24 pure gold.
2.5 oz * 14/24 = 1.458333... oz
Alright! So to solve these questions, you need to find out the difference. You can use ratios to solve this. For example, question #25:
A class had 30 pupils at the beginning of this school term, but now has 5 more pupils. What is the percent of increase?
The question is basically asking how much 5 is in ratio to 30. So just divide 5 (the given amount) by 30 (the total amount). The answer is 0.16, or 16%
