Hello! There are a few things that determine whether or not something is a function. In this case, to determine whether a relation is a function, we look at the domains, which are the x-coordinates, the first number of the pair. If the number occurs in the x-coordinate for more than one pair in a relation, then it's not a function. If a number only occurs as an x-coordinate once in the relation, then it's a function. In other words, they each have only one y-coordinate in the relation. For this question, the first, second, and third relations are functions. The fourth one is not a function, because the 3 has more than one y-coordinate, so it occurs as an x-coordinate more than once. Here are the answers easier to read.
1st : yes
2nd: yes
3rd: yes
4th: no
465+18 = 483
The fraction was just to throw you off, it's not too hard if you look carefully since you get a whole number from it
Answer:
99
Step-by-step explanation:
Answer:
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Step-by-step explanation:
Given:
Let
A(x₁ , y₁) = (1 , 4) and
B( x₂ , y₂ ) = (-1 , 2)
To Find:
θ = ?
Solution:
Slope of a line when two points are given is given bt
Substituting the values we get
Also Slope of line when angle ' θ ' is given as
Substituting Slope = 1 we get
We Know That for angle 45°,
tan 45 = 1
Therefore
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Step-by-step explanation:
Length = L
Width = W
L=8 more than 2W
L = 8 * 2W
L = 16W
Perimeter = 96
perimeter is the lengths of all sides added together
so
2L + 2W = 96
we have
L = 16W
2L + 2W = 96
let's do substitution
put what L = into 2L + 2W = 96
so
2(16W) + 2W = 96
can you rearrange that to get w
put answer in comment
