Answer:
(6, -17)
Step-by-step explanation:
Given the coordinate of a midpoint, (5, -12), and one endpoint, (4, -7), the other endpoint can be determined as follows:
The midpoint formula is given as 
.
Since we are given ordered pairs of the midpoint and one endpoint, we would find the other ordered pair of the endpoint as shown below.
Let the other endpoint be 
Midpoint = M(5, -12)
Let the given endpoint = 
Thus:
Rewrite the equation to find the coordinates of the other endpoints
and 
Solve for each:
Ordered pair of the other endpoint is (6, -17)
All you do for #4 and # 5 is plug the x values FROM THE TABLE into the equation, and see if you get the y values listed in the table. You don't, so you can see that the equations DO NOT REPRESENT THE DATA IN THE TABLE. For #6 you can see from the graph that one point on the line is (1,-2) which does represent the table of values. Looking further, as each x value decreases by 1, the y value decreases by 3, so (0,-5) makes sense too, again supporting the idea that the graph DOES represent the table of values
Answer:
A B A NOR B
F F T
F T F
T F F
T T F
Step-by-step explanation:
The logical operator NOR produces a result that is the negation of the logical operator OR.
The truth table for the logical operator NOR can be obtained by the negation of the results of the truth table for the logical operator OR.
Let A and B be the the logical values (or inputs). The operator OR produces a value of true if and only if at least one operand is true. The truth table for OR is:
A B A OR B
F F F
F T T
T F T
T T T
So, the truth table for NOR is:
A B A NOR B
F F T
F T F
T F F
T T F
Notice that the negation of OR (which is NOR) is obtained by changing the F by T and the T by F in the column of the results.
This table can also be writen with 0 instead of False and 1 instead of True.
