The equation of the perpendicular line is y + 7 = -1/7(x - 3)
<h3>How to determine the line equation?</h3>
The equation is given as
y = 7x + 14
Also, from the question
The point is given as
Point = (3, -7)
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 7
This means that the slope of y = 7x + 14 is 7
So, we have
m = 7
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is -1/7
The equation of the perpendicular lines is then calculated as
y = m(x - x₁) +y₁
Where
m = -1/7
(x₁, y₁) = (3, -7)
So, we have
y = -1/7(x - 3) - 7
Evaluate
y = -1/7(x - 3) - 7
Add 7 to both sides
y + 7 = -1/7(x - 3)
Hence, the perpendicular line has an equation of y + 7 = -1/7(x - 3)
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Answer:
Step-by-step explanation:
Can you rephrase the question.
Answer:

Step-by-step explanation:

Convert mixed numbers to improper fractions:




Add the fractions



Divide 64 by 5



Given:
The fees for a day student are $600 a term.
The fees for a boarding student are $1200 a term.
The school needs at least $720000 a term.
To show:
That the given information can be written as
.
Solution:
Let x be the number of day students and y be the number of boarding students.
The fees for a day student are
a term.
So, the fees for
day students are
a term.
The fees for a boarding student are
a term.
The fees for
boarding student are
a term.
Total fees for
day students and
boarding student is:

The school needs at least $720000 a term. It means, total fees must be greater than or equal to $720000.


Divide both sides by 600.


Hence proved.