Answer: (Photo)
Step-by-step explanation:
Since the +2 is the b in y=mx+b that goes on the y axis then you use the fraction to get the rise and run then graph.
using Pythagorean Theorem
x^2 +b^2 = c^2
x^2 +12^2 = 13^2
x^2 +144 = 169
x^2 = 25
x = sqrt(25) = 5
x = 5
Answer:
I have no idea
Step-by-step explanation:
just for points
I assume you mean one that is not rational, such as √2. In such a case, you make a reasonable estimate of it's position, and then label the point that you plot.
For example, you know that √2 is greater than 1 and less than 2, so put the point at about 1½ (actual value is about 1.4142).
For √3, you know the answer is still less than 4, but greater than √2. If both of those points are required to be plotted just make sure you put it in proper relation, otherwise about 1¾ is plenty good (actual value is about 1.7321).
If you are going to get into larger numbers, it's not a bad idea to just learn a few roots. Certainly 2, 3, and 5 (2.2361) and 10 (3.1623) shouldn't be too hard.
Then for a number like 20, which you can quickly workout is √4•√5 or 2√5, you could easily guess about 4½ (4.4721).
They're usually not really interested in your graphing skills on this sort of exercise. They just want you to demonstrate that you have a grasp of the magnitude of irrational numbers.
