The graph is not a function, as it does not pass the vertical line test. The lines at 2,-1 and 2,3 overlay and pass the vertical line more than once, meaning that the graph is not a function.
Answer:
The solution for given system of equation is: 
and ordered pair is: 
So, (1,3) is not solution to the given system of equations.
Step-by-step explanation:
we can solve the system of equations to find the value of x and y and then verify if (1,3) is a solution or not.
The system of equation given is:
Solving:
Let:
Put value of y from equation 2 into equation 1
Now, put value of x in equation 2 to find value of y
So, the solution for given system of equation is: and ordered pair is:
So, (1,3) is not solution to the given system of equations.
Answer:
9.60 or 9.601 if you want the hundreths place
Step-by-step explanation:
Answer:
B. {16, 19, 20}
Step-by-step explanation:
The <em>triangle inequality</em> requires for any sides a, b, c you must have ...
a + b > c
b + c > a
c + a > b
The net result of those requirements are ...
- the sum of the two shortest sides must be greater than the longest side
- the length of the third side lies between the difference and sum of the other two sides
__
If we look at the offered side length choices, we see ...
A: 8+11 = 19 . . . not > 19; not a triangle
B: 16+19 = 35 > 20; could be a triangle
C: 3+4 = 7 . . . not > 8; not a triangle
D: 5+5 = 10 . . . not > 11; not a triangle
The side lengths {16, 19, 20} could represent the sides of a triangle.
_____
<em>Additional comment</em>
The version of triangle inequality shown above ensures that a triangle will have non-zero area.
The alternative version of the triangle inequality uses ≥ instead of >. Triangles where a+b=c will look like a line segment--they will have zero area. Many authors disallow this case. (If it were allowed, then {8, 11, 19} would also be a "triangle.")
