Given:
The different relations in the options.
To find:
The relation which represents a function.
Solution:
A relation is called a function if there exist a unique output (y-value) for each input (x-value).
In option A, there exist two outputs y=7 and y=1 for a single input x=-1. So, this is not a function.
In option B, there exist two outputs y=-5 and y=2 for a single input x=-1. So, this is not a function.
In option C, there exist two outputs y=2 and y=4 for a single input x=3. So, this is not a function.
In option D, there exist only one value of y for each x. So, this is a function.
Therefore, the correct option is D.
To find the midpoint of two points, we simply use the midpoint formula:
6/2 = 3
-4/2 = -2
The midpoint of line AB is (3, -2)
We can apply the same thing to the second line.
3/2
-4/2
(1.5, -2) is the midpoint for line ST
For 7, we must use the distance formula, which is:
d = √(x.2 - x.1)² + (y.2 - y.1)²
Plug in the appropriate values.
d = √(8 - 2)² + (-5 + 3)²
d = √40
40 cannot be simplified any further without becoming a decimal.
However, if you need the decimal, the distance between points E and F is equal to 6.32, or √40
I hope this helps!
Use the law of sines
11/sin50°=13/sinθ
11/0.766=13/sinθ
11sinθ=13(0.766)
11sinθ=9.958
sinθ=9.958/11
sinθ=0.9052727
use arcsin on your calculator
θ=64.86°
2/3s because if the teapot is 1/3 full and fills a container 2/3 full if it is 2/3 then it will fill it 3/3 all the way full
Um I said
5 = 16
10 = 32
15 = 48
20 = 64
