Definition 1: A relation is any subset of a Cartesian product. For instance, a subset of
, called a "binary relation from A to B," is a collection of ordered pairs (a,b) with first components from A and second components from B, and, in particular, a subset of
is called a "relation on A."
Definition 2: A function is a relation that associates each element x of a set X to a single element y of another set Y (possibly the same set). A function is uniquely represented by its graph which is the set of all ordered pairs (x, f (x)).
From these definitions you can see that every function is a relation from X to Y, but not via versa (because you can consider relation
- here for one x exist two y).
Answer: Correct choice is B.
Answer:
a = 
b = 12
c = 
Step-by-step explanation:
Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.
A 45-45-90 right triangle has side lengths
.
A 30-60-90 right triangle has side lengths
.
Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.
Side a corresponds to side length
. Therefore,
.
Side b corresponds to side length 2, b = 2*6 = 12.
The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to
. This means
was multiplied by
. This means that side c is
.
I don’t know if this helps but…
Slope: 2/3
Y-intercept: (0,-4)