Answer:
y=4x-4
slope of the line=-4/-1
4/1
since perpendicular,
m1.m2=-1
4.m2=-1
m2=-1/4
The equation of line passing through the point (4,2)is
y-y1=m2(x-x1)
y-2=-1/4(x-4)
Step-by-step explanation:
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Answer:
3
Step-by-step explanation:
Given:
The inequalities are:
or 
To find:
The solution for the given inequalities and graph the solution.
Solution:
We have,
or 
Solve the above inequalities separately.

Divide both sides by -5.

...(i)
And,

Divide both sides by 2.

...(ii)
From (i) and (ii). we get
or 
The interval notation of the solution is
.
The graph of the solution is shown below.
Given the question:
The manager of a baseball team has 15 players to choose from for his
9-person batting order. How many different ways can he arrange the
players in the lineup?
5,005
362,880
3,603,600
1,816,214,400
The number of was in which a smaller group is choosing from a bigger group is given by the bigger number combination the smaller number.

Here, we want to choose a 9-person batting order from a team of 15 players. This is given by: