Answer:
Step-by-step explanation:
We are given the following in the question:
Let P be the number of professor and S be the student in a college.
According to the question:
There are 19 times as many students as professors.
We have to write an equation to show the given relationship between professors and students.

The above situation is the situation that represents the given relationship.
Answer:
The distance A’C’ is 4.47 units
Step-by-step explanation:
Before we go on, we need to get the appropriate transformation
Mathematically, we have a 90 degrees clockwise rotation yielding the following;
(x,y) to (-y,x)
A is (-4,1)
C is (-2,5)
By transforming, we have
A’( -1,-4)
C’ (-5,-2)
To get the magnitude of the line segment, we are going to use the distance formula between points
We have this as;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-5-(-1))^2 + (-2-(-4))^2
D = √(-4)^2 + (2)^2
D = √(16 + 4)
D = √20
D = 4.47 units
Answer:
2x+5<10
Step-by-step explanation:
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Answer:
The expression is half the value of (10 + 12)
Step-by-step explanation:
We see the top part is 10 + 12
The whole thing is a fraction and 2 is in the denominator
You divide your term by your denominator, and diving by 2 is the same as 1/2 if a term.
Answer:
A cube number is a number multiplied by itself 3 times.
Step-by-step explanation:
A cubed number looks like this: 
The x is whatever number is being cubed.