Answer:

Step-by-step explanation:
Let points D, E and F have coordinates
and 
1. Midpoint M of segment DF has coordinates

2. Midpoint N of segment EF has coordinates

3. By the triangle midline theorem, midline MN is parallel to the side DE of the triangle DEF, then points M and N are endpoints of the midsegment for DEF that is parallel to DE.
If all 22 tables had 6 people, there would be 132 people seated. There are 13 more than that, so 13 tables have 7 people.
Slope is defined simply as delta y over delta x or the change in y over the change of x. We need to decided what points is going to be the start or the end. Typically, the point farther to the right of the graph is considered the end point.
Start: (1, 7)
End: (10, 1)

Answer:
The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.
Step-by-step explanation:
The difference between continuous and discrete graphs and functions is that a discrete function allows the variables to be only certain points in the interval, usually only integers; meanwhile, a continuous function allows the variables to be any points in the interval. Here, both variables are discrete, that is, the number of people is {0, 1, 2, 3, ...}, and days are {Monday, Tuesday, Wednesday, ...}
Answer:
Point R is at (−20, 10), a distance of 30 units from point Q
Step-by-step explanation:
Q has coordinates (-20,-20).
P has coordinates (10,-20)
Since point R is vertically above point Q, it will have the same x-coordinate as Q.
Let R have coordinates (-20,y).
It was given that;




.
The coordinates of R are (-20,10).
The dstance from Q is 30 units.