Answer:
y = 
x - 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 4x + 38 is in this form with slope m = - 4
The line ST is perpendicular to line RS ( angles in a square are 90° )
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
=
y = x + c ← is the partial equation
To find c substitute (2, - 4) into the partial equation
- 4 = 
+ c ⇒ c = - 4 - = -
y = x - ← equation of ST
If they do not have solutions (intersections).
If they do not have intersections then they must be parallel. Imagine it on the graph
Answer:
20
Explanation:
To estimate, we round. 102.3 rounds to 100 and 4.7 rounds to 5; this means we divide 100/5, which is 20.
There are 4 teams in total and each team has 7 members. One of the team will be the host team.
Tournament committee will be made from 3 members from the host team and 2 members from each of the three remaining teams. Selecting the members for tournament committee is a combinations problem. We have to select 3 members out 7 for host team and 2 members out of 7 from each of the remaining 3 teams.
So total number of possible 9 member tournament committees will be equal to:
This is the case when a host team is fixed. Since any team can be the host team, there are 4 possible ways to select a host team. So the total number of possible 9 member tournament committee will be:
Therefore, there are 2917215 possible 9 member tournament committees
